Publications of Vladimir Maz’ya

Books

1. Burago, Yu. D.; Maz’ya, V. G. Certain Questions of Potential Theory and Function Theory forRegions with Irregular Boundaries. (Russian) Zap. Naucn. Sem. Leningrad. Otdel. Mat. Inst.Steklov. (LOMI) 3 1967 152 pp; English translation: Potential Theory and Function Theory forIrregular Regions. Translated from Russian. Seminars in Mathematics, V. A. Steklov MathematicalInstitute, Leningrad, Vol. 3 Consultants Bureau, New York 1969 vii+68 pp.

2. Mazja, W. Einbettungssatze fur Sobolewsche Raume. Teil 1. (German) [Imbedding Theorems forSobolev Spaces. Part 1] Translated from the Russian by J. Nagel. With English, French and Russiansummaries. Teubner-Texte zur Mathematik. [Teubner Texts on Mathematics] BSB B. G. TeubnerVerlagsgesellschaft, Leipzig, 1979. 204 pp.; Einbettungssatze fur Sobolewsche Raume. Teil 2. (Ger-man) [Imbedding Theorems for Sobolev Spaces. Part 2] With English, French and Russian summaries.Teubner-Texte zur Mathematik [Teubner Texts in Mathematics], 28. BSB B. G. Teubner Verlagsge-sellschaft, Leipzig, 1980. 188 pp.

3. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı , B. A. Asymptotic Behavior of Solutions of EllipticBoundary Value Problems under Singular Perturbations of the Domain. (Russian) With Georgian andEnglish summaries. Tbilis. Gos. Univ., Inst. Prikl. Mat., Tbilisi, 1981. 207 pp.

4. Gelman, I. W.; Mazja, W. G. Abschatzungen fur Differentialoperatoren im Halbraum. (German) [Es-timates for differential operators in the half-space] Translated from the Russian by Ehrhard Herbstand Werner Plischke. Edited by G. Wildenhain. Mathematische Lehrbucher und Monographien, II.Abteilung: Mathematische Monographien [Mathematical Textbooks and Monographs, Part II: Math-ematical Monographs], 54. Akademie-Verlag, Berlin, 1981. 221 pp.; Birkhauser Verlag, Basel-Boston,Mass., 1982.

5. Mazja, W. Zur Theorie Sobolewscher Raume. (German) [On the theory of Sobolev spaces] Translatedfrom the Russian by J. Nagel. With English, French and Russian summaries. Teubner-Texte zurMathematik [Teubner Texts in Mathematics], 38. BSB B. G. Teubner Verlagsgesellschaft, Leipzig,1981. 170 pp.

6. Maz’ya, V. G.; Morozov, N. F.; Plamenevskii; B. A.; Stupialis, L.,Elliptic Boundary Value Problems,Amer. Math. Soc. Transl. (1984), 123, Ser. 2, 268 pp.

7. Maz’ya, V. G. Sobolev Spaces. (Russian) Leningrad. Univ., Leningrad, 1985. 416 pp.; English trans-lation from the Russian by T. O. Shaposhnikova. Springer-Verlag, Berlin-New York, 1985. xix+486pp.

8. Maz’ya, V. G.; Shaposhnikova, T. O. Theory of Multipliers in Spaces of Differentiable Function. Mono-graphs and Studies in Mathematics, 23. Pitman, Boston, Mass.-London, 1985. xiii+344 pp.; Russianedition by Leningrad. Univ., Leningrad, 1986. 404 pp.

9. Mazja, W. G.; Nasarow, S. A.; Plamenewski, B. A. Asymptotische Theorie elliptischer Randwertauf-gaben in singular gestorten Gebieten. I. (German) [Asymptotic theory of elliptic boundary value prob-lems in singularly perturbed domains. I.] Storungen isolierter Randsingularitaten. [Perturbations ofisolated boundary singularities] Mathematische Lehrbucher und Monographien, II. Abteilung: Math-ematische Monographien [Mathematical Textbooks and Monographs, Part II: Mathematical Mono-graphs], 82. Akademie-Verlag, Berlin, 1991. 432 pp.; II. (German) [Asymptotic theory of ellipticboundary value problems in singularly perturbed domains. II] Nichtlokale Storungen. [Nonlocal pertur-bations] Mathematische Lehrbucher und Monographien, II. Abteilung: Mathematische Monographien[Mathematical Textbooks and Monographs, Part II: Mathematical Monographs], 83. Akademie-Verlag,Berlin, 1991. 319 pp.

10. Kozlov, V.; Maz’ya, V., Theory of a Higher-order Sturm-Liouville Equation. Lecture Notes in Mathe-matics, 1659. Springer-Verlag, Berlin, 1997. xii+140 pp.

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11. Kozlov, V. A.; Maz’ya, V. G.; Rossmann, J. Elliptic Boundary Value Problems in Domains withPoint Singularities. Mathematical Surveys and Monographs, 52. American Mathematical Society,Providence, RI, 1997, x+414 pp.

12. Maz’ya, V.; Poborchi, S. Differentiable Functions on Bad Domains. World Scientific, 1997, XVIII+481pp.

13. Maz’ya, V.; Shaposhnikova, T. Jacques Hadamard, a Universal Mathematician. History of Mathemat-ics, 14. American Mathematical Society, Providence, RI; London Mathematical Society, London, 1998.xxviii+574 pp.

14. Kozlov, V.; Maz’ya, V. Differential Equations with Operator Coefficients. Springer-Verlag, 1999,XV+441.

15. Kozlov, V.; Maz’ya, V.; A. Movchan, A. Asymptotic Analysis of Fields in Multistructures. OxfordScience Publications, 1999.

16. Maz’ya, V.; Nazarov, S.; Plamenevskij, B., Asymptotic Theory of Elliptic Boundary Value Problemsin Singularly Perturbed Domains, vol. 1-2, Operator Theory. dvances and Applications, vol. 111,XXIII+435 and vol. 112, XXIII+323, Birkhauser, 2000.

17. Kozlov, V. A.; Maz’ya, V. G.; Rossmann, J., Spectral Problems Associated with Corner Singularitiesof Solutions to Elliptic Equations. Mathematical Surveys and Monographs, vol. 85, 436 pp., AmericanMathematical Society, 2000.

18. Kuznetsov, N.; Maz’ya, V.; Vainberg, B. Linear Water Waves. A Mathematical Approach. CambridgeUniversity Press, 2002.

19. Maz’ya, V., Shaposhnikova, T., Jacques Hadamard, un Mathematicien Universel. EDP Sciences, Paris,2005 (revised and extended translation from English).

20. Kresin, G., Maz’ya, V. Sharp Real-Part Theorems. A Unified approach, Lecture Notes in Mathematics,No 1903, xvi+140 pp, Springer, 2007.

21. Maz’ya, V., Poborchi, S. Imbedding and Extension Theorems for Functions in Non-Lipschitz Domains,St-Petersburg University Publishers, 2007.

22. Maz’ya, V., Schmidt, G., Approximate Approximations, Mathematical Surveys and Monographs, vol.141, xiv+349 pp, American Mathematical Society, 2007.

23. Maz’ya V., Shaposhnikova T., Jacques Hadamard, Legend of Mathematics. MCNMO Publishers,Moscow, 2008 (revised, extended, and authorized translation from English to Russian).

24. Maz’ya V., Shaposhnikova T., Theory of Sobolev Multipliers with Applications to Differential andIntegral Operators, Grundlehren der Mathematischen Wissenschaften, vol. 337, Springer, 2009.

25. Maz’ya V., Soloviev, A., Boundary Integral Equations on Contours with Peaks, Operator Theory Ad-vances and Applications, vol. 196, Birkhauser, 2010.

26. Maz’ya V., Rossmann, J., Elliptic Equations in Polyhedral Domains, Mathematical Surveys and Mono-graphs, vol. 162, 608 pp., American Mathematical Society, 2010.

27. Maz’ya V., Sobolev Spaces with Applications to Elliptic Partial Differential Equations, Grundlehrender Mathematischen Wissenschaften, vol. 342, Springer, 2011.

28. Kresin, G., Maz’ya, V. Maximum Principles and Sharp Constants for Solutions of Elliptic and ParabolicSystems, vol. 183, 328 pp., American Mathematical Society, 2012.

29. Maz’ya, V., Movchan, A., Nieves, M. Green’s Kernels and Meso-Scale Approximations in PerforatedDomains, Springer, Lecture Notes in Mathematics, v. 2077, 2013.

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30. Cialdea, A., Maz’ya, V. Semi-bounded Differential Operators, Contractive Semigroups and Beyond,Operator Theory, Advanves and Applications, vol. 243, Birkhauser, 2014.

31. Maz’ya V., Differential Equations of My Young Years, Birkhauser/Springer, Cham, xiv+191 pp., 2014.

32. Maz’ya, V. Boundary Behavior of Solutions to Elliptic Equations in General Domains, EMS Tracts inMathematics, v. 30, 2018.

33. Gel’man, I., Maz’ya, V. Estimates for Differential Operators in Half-space, EMS Tracts in Mathematics,v. 31, 2019.

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Papers

1959

34. Maz’ya, V. G. Solution of Dirichlet’s problem for an equation of elliptic type. (Russian) Dokl. Akad.Nauk SSSR 129, 257–260.

1960

35. Maz’ya, V. G. Classes of domains and imbedding theorems for function spaces. Soviet Math. Dokl.133:1, 882–885.

1961

36. Maz’ya, V. G. Some estimates of solutions of second-order elliptic equations. (Russian) Dokl. Akad.Nauk SSSR 137, 1057–1059.

37. Maz’ya, V. G. On p-conductivity and theorems on embedding certain functional spaces into a C-space.(Russian) Dokl. Akad. Nauk SSSR 140, 299–302.

1962

38. Maz’ya, V. G. The negative spectrum of the higher-dimensional Schrodinger operator. (Russian) Dokl.Akad. Nauk SSSR 144, 721–722.

39. Maz’ya, V. G. On the solvability of the Neumann problem. (Russian) Dokl. Akad. Nauk SSSR 147,294–296.

40. Burago, Yu. D.; Maz’ya, V. G.; Sapoznikova, V. D. On the double layer potential for non-regulardomains. (Russian) Dokl. Akad. Nauk SSSR 147, 523–525.

41. Maz’ya, V. G.; Sobolevskiı, P. E. On generating operators of semi-groups. (Russian) Uspehi Mat.Nauk 17:6 (108), 151–154.

42. Maz’ya, V. G. Imbedding theorems for arbitrary sets. (Russian) Uspehi Mat. Nauk 17:1, 247-248.

1963

43. Maz’ya, V. G. The Dirichlet problem for elliptic equations of arbitrary order in unbounded domains.(Russian) Dokl. Akad. Nauk SSSR 150, 1221–1224.

44. Maz’ya, V. G. On the boundary regularity of solutions of elliptic equations and of a conformal mapping.(Russian) Dokl. Akad. Nauk SSSR 152, 1297–1300. operators

1964

45. Maz’ya, V. G.; Sapoznikova, V. D. A remark on the regularization of a singular system in the isotropictheory of elasticity. (Russian) Vestnik Leningrad. Univ. Ser. Mat. Meh. Astronom. 19:2, 165–167.Erratum in: Vestnik Leningrad. Univ. Ser. Mat. Meh. Astronom. 9:4 (1977), 160.

46. Maz’ya, V. G. On the theory of the higher-dimensional Schrodinger operator. (Russian) Izv. Akad.Nauk SSSR Ser. Mat. 28, 1145–1172.

47. Maz’ya, V. G. The solvability inW 2

2 of the Dirichlet problem for a region with a smooth irregularboundary. (Russian) Vestnik Leningrad. Univ. 19:7 163–165.

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48. Maz’ya, V. G.; Sapoznikova, V. D. Solution of the Dirichlet and Neumann problems for irregular do-mains by potential-theoretic methods. (Russian) Dokl. Akad. Nauk SSSR 159, 1221–1223.

1965

49. Maz’ya, V. G.; Plamenevskiı, B. A. On singular equations with a vanishing symbol. (Russian) Dokl.Akad. Nauk SSSR 160, 1250–1253.

50. Maz’ya, V. G. Polyharmonic capacity in the theory of the first boundary-value problem. (Russian)Sibirsk. Mat. Z. 6, 127–148.

51. Maz’ya, V. G.; Plamenevskiı, B. A. The Cauchy problem for hyperbolic singular integral equations ofconvolution type. (Russian) Vestnik Leningrad. Univ. 20:19, 61–163.

52. Maz’ya, V. G. On the theory of the multi-dimensional Schrodinger operator. (Russian) Vestnik Leningrad.Univ. 20:1, 135–137.

1966

53. Maz’ya, V. G. On the modulus of continuity of a solution of the Dirichlet problem near an irregu-lar boundary. (Russian) 1966 Problems Math. Anal. Boundary Value Problems Integr. Equations(Russian) pp. 45–58 Izdat. Leningrad. Univ., Leningrad.

54. Burago, Ju. D.; Maz’ya, V. G.; Sapoznikova, V. D. On the theory of potentials of a double and a simplelayer for regions with irregular boundaries. (Russian) 1966 Problems Math. Anal. Boundary ValueProblems Integr. Equations (Russian) 3–34 Izdat. Leningrad. Univ., Leningrad.

55. Mazz’ja, V. G. Boundary value problems in domains with irregular boundaries. Reports of the Internat.Congress of Math., Section 7, Moscow, 1966, 42.

1967

56. Maz’ya, V. G. Solvability inW2

2 of the Dirichlet problem in a region with a smooth irregular boundary.(Russian) Vestnik Leningrad. Univ. 22:7, 87–95.

57. Maz’ya, V. G.; Mihlin, S. G. The Cosserat spectrum of the equations of elasticity theory. (Russian)Vestnik Leningrad. Univ. 22:13, 58–63.

58. Maz’ya, V. G. The behavior near the boundary of the solution of the Dirichlet problem for an ellipticequation of the second order in divergence form. (Russian) Mat. Zametki 2, 209–220.

59. Maz’ya, V. G.; Havin, V. P. Approximation in the mean by harmonic functions. (Russian) Zap. Naucn.Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 5, 196–200.

60. Verzbinskiı, G. M.; Maz’ya, V. G. The asymptotics of solutions of the Dirichlet problem near a non-regular frontier. (Russian) Dokl. Akad. Nauk SSSR 176, 498–501.

61. Maz’ya, V. G. Closure in the metric of the generalized Dirichlet integral. (Russian) Zap. Naucn. Sem.Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)5 192–195.

1968

62. Babic, V. M.; Bakel’man, I. Ja.; Koselev, A. I.; Maz’ya, V. G. Solomon Grigor’evic Mihlin: On thesixtieth anniversary of his birth. (Russian) Uspehi Mat. Nauk 23:4 (142), 269–272.

63. Maz’ya, V. G.; Havin, V. P. Approximation in the mean by analytic functions. (Russian) VestnikLeningrad. Univ. 23:13, 62–74.

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64. Maz’ya, V. G.; Havin, V. P. The Cauchy problem for Laplace’s equation. (Russian) Vestnik Leningrad.Univ. 23:7, 146–147.

65. Maz’ya, V. G. Examples of nonregular solutions of quasilinear elliptic equations with analytic coeffi-cients. (Russian) Funkcional. Anal. i Prilozen. 2:3, 53–57.

66. Maz’ya, V. G. The Neumann problem in regions with nonregular boundaries. (Russian) Sibirsk. Mat.Z. 9, 1322–1350.

1969

67. Maz’ya, V. G. The boundedness of the first derivatives of the solution of the Dirichlet problem in aregion with smooth nonregular boundary. (Russian) Vestnik Leningrad. Univ. 24:1, 72–79.

68. Maz’ya, V. G.; Panejah, B. P. Degenerate elliptic pseudo-differential operators on a smooth manifoldwithout boundary. (Russian) Funkcional. Anal. i Prilozen. 3:2, 91–92.

69. Maz’ya, V. G. Weak solutions of the Dirichlet and Neumann problems. (Russian) Trudy Moskov. Mat.Obsc. 20, 137–172.

70. Maz’ya, V. G.; Havin, V. P. On the uniqueness theorem of L. Carleson for analytic functions with finiteDirichlet integral. (Russian) 1969 Problems of Math. Anal., no. 2: Linear Operators and OperatorEquations (Russian) pp. 153–156 Izdat. Leningrad. Univ., Leningrad.

71. Krol’, I. N.; Maz’ya, V. G. The lack of continuity and Holder continuity of solutions of a certainquasilinear equation. (Russian) Zap. Naucn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 1489–91.

72. Maz’ya, V. G.; Haıkin, Ju. E. A remark on the continuity in L2 of a singular integral operator. (Rus-sian) Vestnik Leningrad. Univ. 24:19, 156–159.

1970

73. Maz’ya, V. G. The degenerate problem with oblique derivative. (Russian) Uspehi Mat. Nauk 25:2(152), 275–276.

74. Maz’ya, V. G.; Panejah, B. P. Degenerate elliptic pseudodifferential operators with simple complexcharacteristics. (Russian) Uspehi Mat. Nauk25:1 (151), 193–194.

75. Maz’ya, V. G.; Havin, V. P. A nonlinear analogue of the Newtonian potential, and metric propertiesof (p, l)-capacity. (Russian) Dokl. Akad. Nauk SSSR 194, 770–773.

76. Maz’ya, V. G. The continuity at a boundary point of the solutions of quasi-linear elliptic equations.(Russian) Vestnik Leningrad. Univ. 25:13, 42–55; erratum: Vestnik Leningrad. Univ. 27:1, 160;English translation: Vestnik Leningrad. Univ. Math. 3 (1976), 225—242.

77. Maz’ya, V. G., Some questions from the theory of general differential operators. In the book: Mikhlin,S. G. Mathematical physics, an advanced course. Translated from the Russian. North-Holland Seriesin Applied Mathematics and Mechanics, Vol. 11 North-Holland Publishing Co., Amsterdam-London;American Elsevier Publishing Co., Inc., New York 1970 xv+561 pp.; German translation: Maz’ya, W.G.Einige Fragen der Theorie allgemeiner Differentialoperatoren, In the book: Michlin, S. G. Lehrgangder mathematischen Physik. (German) Ubersetzung aus dem Russischen: Mathematische Lehrbucherund Monographien. I. Abteilung: Mathematische Lehrbucher, Band XV. Akademie-Verlag, Berlin,1972. xiv+475 pp.

78. Maz’ya, V. G. Classes of sets and measures that are connected with imbedding theorems. (Russian)Imbedding theorems and their applications (Proc. Sympos., Baku, 1966) (Russian), pp. 142–159.Izdat. ”Nauka”, Moscow, 1970.

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79. Maz’ya, V. G. The selfadjointness of the Laplace operator. (Russian) Imbedding theorems and theirapplications (Proc. Sympos., Baku, 1966) (Russian), pp. 160–162, 246. Izdat. ”Nauka”, Moscow,1970.

80. Maz’ya, V. G.; Panejah, B. P. Coercive estimates and regularity of solutions of degenerate ellipticpseudodifferential equations. (Russian) Funkcional. Anal. i Prilozen. 4:4, 41–56.

1971

81. Maz’ya, V. G.; Plamenevskiı, B. A. The asymptotics of the solutions of differential equations withoperator coefficients. (Russian) Dokl. Akad. Nauk SSSR 196, 512–515.

82. Maz’ya, V. G.; Plamenevskiı, B. A. The oblique derivative problem in a domain with a piecewise smoothboundary. (Russian) Funkcional. Anal. i Prilozen 5:3, 102–103.

83. Verzbinskiı, G. M.; Maz’ya, V. G. Asymptotic behavior of the solutions of second order elliptic equa-tions near the boundary. I. (Russian) Sibirsk. Mat. Z. 12, 1217–1249.

1972

84. Gel’man, I. V.; Maz’ya, V. G. Estimates for differential operators with constant coefficients in a half-space. (Russian) Dokl. Akad. Nauk SSSR 202, 751–754.

85. Maz’ya, V. G. The Neumann problem for elliptic operators of arbitrary order in domains with nonreg-ular boundaries. (Russian) Vestnik Leningrad. Univ. no. 1, 26–33.

86. Maz’ya, V. G. The degenerate problem with an oblique derivativ. (Russian) Mat. Sb. (N.S.) 87 (129),417–454.

87. Maz’ya, V. G. Applications of certain integral inequalities to the theory of quasilinear elliptic equations.(Russian) Comment. Math. Univ. Carolinae 13, 535–552.

88. Maz’ya, V. G. The removable singularities of bounded solutions of quasilinear elliptic equations ofarbitrary order. (Russian) Boundary value problems of mathematical physics and related questions inthe theory of functions, 6. Zap. Naucn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 27,116–130.

89. Maz’ya, V. G.; Havin, V. P. Approximation in the mean by harmonic functions. (Russian) Investiga-tions on linear operators and the theory of functions, III. Zap. Naucn. Sem. Leningrad. Otdel. Mat.Inst. Steklov. (LOMI) 30, 91–105.

90. Verzbinskiı, G. M.; Maz’ya, V. G. Asymptotic behavior of the solutions of second order elliptic equationsnear the boundary. II. (Russian) Sibirsk. Mat. Z. 13, 1239–1271.

91. Maz’ya, V. G. On Beurling’s theorem on the minimum principle for positive harmonic functions.(Russian) Investigations on linear operators and the theory of functions, III. Zap. Naucn. Sem.Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 30, 76–90.

92. Maz’ya, V. G.; Havin, V. P. On the theory of nonlinear potentials and (p, l)-capacity. (Russian) VestnikLeningrad. Univ. Mat. Meh. Astronom. 13:3, 46–51.

93. Maz’ya, V. G. Certain integral inequalities for functions of several variables. (Russian) Problems ofmathematical analysis, no. 3: Integral and differential operators, Differential equations (Russian), pp.33–68. Izdat. Leningrad. Univ., Leningrad.

94. Maz’ya, W.G. Einige Fragen der Theorie allgemeiner Differentialoperatoren. In the book: Michlin, S.G. Lehrgang der mathematischen Physik. (German) Ubersetzung aus dem Russischen: MathematischeLehrbucher und Monographien. I. Abteilung: Mathematische Lehrbucher, Band XV. Akademie-Verlag,Berlin, 1972. xiv+475 pp.; extended version in: Mitteilungen der Math. Gesellschaft der DDR (1975)H.1, 92-116.

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95. Maz’ya, V. G.; Plamenevskiı, B. A. The asymptotic behavior of solutions of differential equations inHilbert space. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 36, 1080–1133; erratum, ibid. 37 (1973),709–710.

96. Maz’ya, V. G.; Plamenevskiı, B. A.A certain class of manifolds with singularities. (Russian) Izv. Vyss.Ucebn. Zaved. Matematika, no. 11(126), 46–52.

97. Krol’, I. N.; Maz’ya, V. G. The absence of the continuity and Holder continuity of the solutions ofquasilinear elliptic equations near a nonregular boundary. (Russian) Trudy Moskov. Mat. Obsc. 26,75–94.

98. Vaınberg, B. R.; Maz’ya, V. G. Certain stationary problems of the linear theory of surface waves.(Russian) Dokl. Akad. Nauk SSSR 205, 310–313.

99. Maz’ya, V. G.; Havin, V. P. A nonlinear potential theory. (Russian) Uspehi Mat. Nauk 27:6, 67–138.

1973

100. Maz’ya, V. G. A certain embedding operator, and set functions of the type of (p, l)-capacity. (Russian)Comment. Math. Univ. Carolinae 14, 155–175.

101. Maz’ya, V. G.; Plamenevskiı, B. A. Elliptic boundary value problems with discontinuous coefficients onmanifolds with singularities. (Russian) Dokl. Akad. Nauk SSSR 210, 529–532.

102. Maz’ya, V. G. The coercivity of the Dirichlet problem in a domain with irregular boundary. (Russian)Izv. Vyss. Ucebn. Zaved. Matematika, no. 4(131), 64–76.

103. Maz’ya, V. G.; Plamenevskiı, B. A. The asymptotic behavior of solutions of the Navier-Stokes equationsnear the edges. (Russian) Dokl. Akad. Nauk SSSR 210, 803–806.

104. Maz’ya, V. G. The oblique derivative problem in a domain with edges of various dimensions. (Russian)Vestnik Leningrad. Univ. 7 Mat. Meh. Astronom. Vyp. 2 (1973), 34–39.

105. Maz’ya, V. G. The (p, l)-capacity, imbedding theorems and the spectrum of a selfadjoint elliptic oper-ator. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 37, 356–385.

106. Maz’ya, V. G. The continuity and boundedness of functions in S. L. Sobolev spaces. (Russian) Problemsof mathematical analysis, no. 4: Integral and differential operators, Differential equations , pp. 46–77.Izdat. Leningrad. Univ., Leningrad.

107. Maz’ya, V. G.; Havin, V. P.Application of the (p, l)-capacity to certain problems of the theory ofexceptional sets. (Russian) Mat. Sb. (N.S.) 90 (132) (1973), 558–591.

108. Maz’ya, V. G.; Plamenevskiı, B. P. The behavior of the solutions of quasilinear elliptic boundary valueproblems in the neighborhood of a conical point. (Russian) Boundary value problems of mathematicalphysics and related questions in the theory of functions, 7. Zap. Naucn. Sem. Leningrad. Otdel. Mat.Inst. Steklov. (LOMI) 38, 94–97.

109. Maz’ya, V. G.; Plamenevskiı, B. A.Elliptic boundary value problems in a domain with a piecewisesmooth boundary. (Russian) Proceedings of the Symposium on Continuum Mechanics and RelatedProblems of Analysis (Tbilisi, 1971), Vol. 1 , pp. 171–181. Izdat. ”Mecniereba”, Tbilisi.

110. Maz’ya, V. G. The degenerate oblique derivative problem. (Russian) Proceedings of the Symposiumon Continuum Mechanics and Related Problems of Analysis (Tbilisi, 1971), Vol. 1 (Russian), pp.165–170. Izdat. ”Mecniereba”, Tbilisi.

111. Vaınberg, B. R.; Maz’ya, V. G. On the plane problem of the motion of a solid immersed in a fluid.Trudy Moskov. Mat. Obsc. 28, 35–56.

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112. Vaınberg, B. R.; Maz’ya, V. G. On the problem of the steady oscillations of a layer of fluid of variabledepth. (Russian) Trudy Moskov. Mat. Obsc. 28, 57–74.

1974

113. Maz’ya, V. G.; Plamenevskiı, B. A. The fundamental solutions of elliptic boundary value problems, andthe Miranda-Agmon maximum principle in domains with conical points. (Russian) Sakharth. SSSRMecn. Akad. Moambe 73, 277–280.

114. Gel’man, I. V.; Maz’ya, V. G. Estimates on the boundary for differential operators with constantcoefficients in a half-space. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 38, 663–720.

115. Kuznecov, N. G.; Maz’ya, V. G. On the problem of the steady-state oscillations of a layer of fluid inthe presence of an obstacle. (Russian) Dokl. Akad. Nauk SSSR 216, 759–762.

116. Verzbinskiı, G. M.; Maz’ya, V. G. The closure in Lp of the operator of the Dirichlet problem in adomain with conical points. (Russian) Izv. Vyss. Ucebn. Zaved. Matematika, no. 6(145), 8-19.

117. Maz’ya, V. G. The connection between two forms of capacity. (Russian) Vestnik Leningrad. Univ.Mat. Mech. Astronom. 7:2, 33–40.

118. Maz’ya, V. G.; Plamenevskiı, B. A. The coefficients in the asymptotic expansion of the solutions ofelliptic boundary value problems to near conical points. (Russian) Dokl. Akad. Nauk SSSR 219,286–289.

119. Maz’ya, V. G.; Paneyah, B. Degenerate elliptic pseudo-differential operators and the problem withoblique derivative. (Russian) Collection of articles dedicated to the memory of Ivan Georgievic Petro-vskiı. Trudy Moskov. Mat. Obsc. 31, 237–295.

120. Maz’ya, V. G.; Havin, V. P. The solutions of the Cauchy problem for the Laplace equation (uniqueness,normality, approximation). (Russian) Trudy Moskov. Mat. Obsc. 30, 61–114.

1975

121. Maz’ya, V. G.; Plamenevskiı, B. A. Boundary value problems for a second order elliptic equation ina domain with ribs. (Russian) Collection of articles dedicated to the memory of Academician V. I.Smirnov. Vestnik Leningrad. Univ. Mat. Meh. Astronom. 1:1, 102–108.

122. Gel’man, I. V.; Maz’ya, V. G. The domination of differential operators with constant coefficients in ahalf-space. (Russian) Dokl. Akad. Nauk SSSR 221:3, 528–531.

123. Maz’ya, V. G.; Plamenevskiı, B. A. The coefficients in the asymptotic expansion of the solutions ofelliptic boundary value problems in a cone. (Russian) Boundary value problems of mathematical physicsand related questions of the theory of functions, 8. Zap. Naucn. Sem. Leningrad. Otdel. Mat. Inst.Steklov. (LOMI) 52, 110–127.

124. Maz’ya, V. G. The index of closure of the operator of the Dirichlet problem in a domain with anonregular boundary. (Russian) Problems of mathematical analysis, no. 5: Linear and nonlineardifferential equations, Differential operators, pp. 98–121. Izdat. Leningrad. Univ., Leningrad.

125. Maz’ya, V. G.; Gel’man, I. V. Estimates for differential operators with constant coefficients in a half-space. (Russian) Mat. Sb. (N.S.) 96 (138), 240–275.

126. Maz’ya, V. G. The summability of functions belonging to Sobolev spaces. (Russian) Problems of math-ematical analysis, no. 5: Linear and nonlinear differential equations, Differential operators, pp. 66–98.Izdat. Leningrad. Univ., Leningrad.

127. Maz’ya, V. G. Einige Richtungen und Probleme der Theorie elliptischer Gleichungen. MitteilungenGesellschaft der DDR, H. 1, 26-91.

9

128. Maz’ya, W.G. Einige Fragen der Theorie allgemeiner Differentialoperatoren. Mitteilungen der Math.Gesellschaft der DDR, H.1, 92-116.

129. Maz’ya, V. G.; Plamenevskiı, B. A. Lp estimates, and the asymptotic behavior of the solutions of ellipticboundary value problems in domains with edges. (Russian) Conference on Differential Equations andApplications (Ruse, 1975). Godisnik Viss. Ucebn. Zaved. Prilozna Mat. 11:2, 113–123.

1976

130. Maz’ya, V. G.; Plamenevskiı, B. A. The coefficients in the asymptotic expansion of the solutions ofelliptic boundary value problems near an edge. (Russian) Dokl. Akad. Nauk SSSR 229:1, 33–36.

131. Maz’ya, V. G.; Haıkin, Ju. E. The continuity of singular integral operators in normed spaces. (Russian)Vestnik Leningrad. Univ.Mat. Meh. Astronom. 1:1, 28–34.

1977

132. Maz’ya, V. G. The connection between Martin’s and Euclid’s topologies. (Russian) Dokl. Akad. NaukSSSR 233:1, 27–30.

133. Maz’ya, V. G.; Otelbaev, M. Imbedding theorems and the spectrum of a certain pseudodifferentialoperator. (Russian) Sibirsk. Mat. Z. 18:5, 1073–1087.

134. Maz’ya, V. G.; Plamenevskiı, B. A. The asymptotic behavior of the solution of the Dirichlet prob-lem near an isolated singularity on the boundary. (Russian) Vestnik Leningrad. Univ. Mat. Meh.Astronom, 13:3, 60–66.

135. Maz’ya, V. G.; Plamenevskiı, B. A.; Haıkin, Ju. E. A well-posed problem for singular integral equationswith a symbol that goes to zero. (Russian) Differencial’nye Uravnenija 13:8, 1479–1486.

136. Fichera, G.; Maz’ya, V. G. In honour of Professor Solomon G. Mikhlin on the occasion of his seventiethbirthday. Applicable Anal. 7:3, 167–170.

137. Duducava, R. V.; Maz’ya, V. G. A uniqueness theorem for the integral equation of a thin rectangularairfoil. (Russian) Sakharth. SSR Mecn. Akad. Moambe 87:1, 53–56.

138. Maz’ya, V. G. Strong capacity-estimates for ”fractional” norms. (Russian) Numerical methods andquestions on organization of computations. Zap. Naucn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.(LOMI) 70, 161–168.

139. Maz’ya, V. G.; Plamenevskiı, B. A. Elliptic boundary value problems on manifolds with singularities.(Russian) Problems in mathematical analysis, no. 6: Spectral theory, boundary value problems, pp.85–142. Izdat. Leningrad. Univ., Leningrad.

140. Maz’ya, V. G.; Plamenevskiı, B. A. The pseudo-analyticity of the solutions of elliptic equations in thespace Rn. (Russian) Sakharth. SSR Mecn. Akad. Moambe 85:1, 37–40.

141. Maz’ya, V. G.; Plamenevskiı, B. A. The coefficients in the asymptotics of solutions of elliptic boundaryvalue problems with conical points. (Russian) Math. Nachr. 76, 29–60.

142. Maz’ya, V. G. Solvability of the problem of oscillations of a fluid in the presence of an immersed body.(Russian) Boundary value problems of mathematical physics and related questions in the theory offunctions, 10. Zap. Naucn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 69, 124–128.

143. Maz’ya, V. G. On a stationary problem on small oscillations of a fluid in the presence of an imbeddedbody. (Russian) Partial differential equations, 57–79, Proc. Sobolev Sem., no. 2, Akad. Nauk SSSRSibirsk. Otdel., Inst. Mat., Novosibirsk.

144. Maz’ya, V. G. Behaviour of solutions to the Dirichlet problem for the biharmonic operator at a boundarypoint. Dokl. (Russian) Acad. Nauk USSR 235:6, 1263-1266.

10

145. Maz’ya, V. G. Local square summability of a convolution. (Russian) Investigations on linear operatorsand the theory of functions, VIII. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)73, 211–216. Erratum in: Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 113(1981).

1978

146. Maz’ya, V. G.; Plamenevskiı, B. A. Estimates in Lp and in Holder classes, and the Miranda-Agmonmaximum principle for the solutions of elliptic boundary value problems in domains with singular pointson the boundary. (Russian) Math. Nachr. 81, 25–82.

147. Masja, W.; Nagel, J. Uber aquivalente Normierung der anisotropen Funktionalraume Hµ(Rn). (Ger-man) Beitrage Anal. no. 12, 7–17.

148. Maz’ya, V. G.; Morozov, N. F.; Plamenevskiı , B. A. The stressed-strained state in a neighborhood ofa crack apex at nonlinear bending of a plate. (Russian) Dokl. Akad. Nauk SSSR 243:4, 889–892.

149. Maz’ya, V. G.; Plamenevskiı , B. A. Estimates of the Green functions and Schauder estimates of thesolutions of elliptic boundary value problems in a two-sided corner. (Russian) Sibirsk. Mat. Zh. 19:5,1065–1082.

150. Maz’ya, V. G.; Plamenevskiı , B. A. Lp-estimates of solutions of elliptic boundary value problems indomains with ribs. (Russian) Trudy Moskov. Mat. Obshch. 37, 49–93. English translation: Trans.Moscow Math. Soc. 1 (1980), 49–97.

151. Maz’ya, V. G.; Plamenevskiı , B. A. Schauder estimates for the solutions of elliptic boundary valueproblems in domains with edges on the boundary. (Russian) Partial differential equations, pp. 69–102,Trudy Sem. S. L. Soboleva, no. 2, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk.

152. Maz’ya, V. G.; Plamenevskiı , B. A. Weighted spaces with inhomogeneous norms, and boundary valueproblems in domains with conical points. (Russian) Elliptische Differentialgleichungen (Meeting, Ros-tock, 1977), pp. 161–190, Wilhelm-Pieck-Univ., Rostock.

153. Maz’ya, V. G. An integral inequality. (Russian) Sem. Inst. Prikl. Mat. Dokl. no. 12-13, 33–36.

154. Maz’ya, V. G. On regularity of a boundary point for elliptic equations. (Russian) Zap. Nauchn. Sem.Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 81, 197–199.

155. Maz’ya, V. G. Multipliers in Sobolev spaces. (Russian) In the book: Application of function theoryand functional analysis methods to problems of mathematical physics. Pjatoe Sovetso-CehoslovackoeSovescanie, 1976, 181-189; Novosibirsk.

1979

156. Kresin, G. I.; Maz’ya, V. G. The essential norm of an operator of the double-layer potential type in thespace Cm. (Russian) Dokl. Akad. Nauk SSSR 246:2, 272–275.

157. Maz’ya, V. G. Behaviour of solutions to the Dirichlet problem for the biharmonic operator at a boundarypoint. Equadiff IV (Proc. Czechoslovak Conf. Differential Equations and their Applications, Prague,1977), pp. 250–262, Lecture Notes in Math., 703, Springer, Berlin.

158. Maz’ya, V. G.; Saposnikova, T. O. Multipliers in spaces of functions with fractional derivatives. (Rus-sian) Dokl. Akad. Nauk SSSR 244:5, 1065–1067.

159. Maz’ya, V. G.; Saposnikova, T. O. Traces and extensions of the multipliers in the space W lp. (Russian)

Uspekhi Mat. Nauk 34:2 (206), 205–206.

11

160. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı , B. A. Asymptotic behavior of the solutions of ellipticboundary value problems in the case of variation of the domain near conic points. (Russian) Dokl.Akad. Nauk SSSR 249:1, 94–96.

161. Maz’ya, V. G.; Saposnikova, T. O. Multipliers in S. L. Sobolev spaces. (Russian) Vestnik Leningrad.Univ. Mat. Mekh. Astronom. no. 2, 33–40.

162. Maz’ya, V. G. Summability, with respect to an arbitrary measure, of functions from S. L. Sobolev L. N.Slobodeckiı spaces. (Russian) Investigations on linear operators and the theory of functions, IX. Zap.Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 92, 192–202.

163. Maz’ya, V. G.; Plamenevskiı , B. A. Asymptotic behavior of the fundamental solutions of ellipticboundary value problems in domains with conical points. (Russian) Boundary value problems. Spectraltheory, pp. 100–145, Probl. Mat. Anal., 7, Leningrad. Univ., Leningrad.

164. Maz’ya, V. G. A new integral representation of differentiable functions and its applications. (Russian)Soobshch. Akad. Nauk Gruzin. SSR 95:3, 537–540.

165. Maz’ya, V.; Plamenevskiı , B.; Stupjalis, L. The three-dimensional problem of the steady-state motion ofa fluid with a free surface. (Russian) Differentsial’nye Uravneniya i Primenen.—Trudy Sem. ProtsessyOptimal. Upravleniya I Sektsiya no. 23, 157 pp.

166. Maz’ya, V. G.; Plamenevskiı , B. A. Pseudoanalyticity of the solutions of a perturbed polyharmonicequation in Rn. (Russian) Scattering theory. Theory of oscillations, pp. 75–91, Probl. Mat. Fiz., 9,Leningrad. Univ., Leningrad.

167. Maz’ya, V. G.; Saposnikova, T. O. Multipliers in spaces of differentiable functions. (Russian) Theoryof cubature formulas and the application of functional analysis to problems of mathematical physics(Proc. Sem. S. L. Sobolev, no. 1, 1979) (Russian), pp. 37–90, Trudy Sem. S. L. Soboleva, no. 1, 1979,Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk.

168. Maz’ya, V. G.; Morozov, N. F.; Plamenevskiı , B. A. Nonlinear bending of a plate with a crack.(Russian) Differential and integral equations. Boundary value problems, pp. 145–163, Tbilis. Gos.Univ., Tbilisi.

169. Maz’ya, V. G. The spectrum of V. A. Steklov’s problem for a second-order equation with nonnegativecharacteristic form. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 95:1, 41–44.

170. Maz’ya, V. G.; Gel’man, I. V. Estimates for the maximal operator in a half-space. I. (Russian) BeitrageAnal. no. 14, 7–24.

1980

171. Maz’ya, V. G. An integral representation of functions, satisfying homogeneous boundary conditions,and its applications. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. no. 2, 34–44.

172. Vaınberg, B. R.; Maz’ya, V. G. A characteristic Cauchy problem for a hyperbolic equation. (Russian)Uspekhi Mat. Nauk 35:1 (211), 193–194.

173. Maz’ya, V. G.; Plamenevskiı , B. A. A problem of the motion of a fluid with a free surface in a facetedvessel. (Russian) Dokl. Akad. Nauk SSSR 250:6, 315–1317.

174. Maz’ya, V. G.; Saposnikova, T. O. On conditions for the boundary in the Lp-theory of elliptic boundaryvalue problems. (Russian) Dokl. Akad. Nauk SSSR 251:5, 1055–1059.

175. Maz’ya, V. G.; Plamenevskiı , B. A. On the first boundary value problem for the equations of hy-drodynamics in a domain with a piecewise smooth boundary. (Russian) Boundary value problemsof mathematical physics and related questions in the theory of functions, 12. Zap. Nauchn. Sem.Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 96, 179–186.

12

176. Gel’man, I. V.; Maz’ya, V. G. The domination of differential operators with constant coefficients in ahalf-space. (Russian) Math. Nachr. 95, 47–78.

177. Maz’ya, V. G.; Saposnikova, T. O. A coercive estimate for solutions of elliptic equations in spaces ofmultipliers. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. no. 1, 41–47.

178. Maz’ya, V. G.; Saposnikova, T. O. Theory of multipliers in spaces of differentiable functions andtheir applications. (Russian) Theory of cubature formulas and numerical mathematics (Proc. Conf.,Novosibirsk, 1978), pp. 225–233, ”Nauka” Sibirsk. Otdel., Novosibirsk.

179. Maz’ya, V. G. An imbedding theorem and multipliers in pairs of S. L. Sobolev spaces. (Russian)Theory of analytic functions and harmonic analysis. Akad. Nauk Gruzin. SSR Trudy Tbiliss. Mat.Inst. Razmadze 66, 59–69.

180. Maz’ya, V. G.; Hvoles, A. A. Imbedding of the spaceL lp(Ω) into a space of generalized functions.

(Russian) Theory of analytic functions and harmonic analysis. Akad. Nauk Gruzin. SSR TrudyTbiliss. Mat. Inst. Razmadze 66, 70–83.

181. Maz’ya, V. G.; Shaposhnikova, T. O. Multipliers of S. L. Sobolev spaces in a domain. (Russian) Math.Nachr. 99, 165–183.

182. Maz’ya, V. G.; Shaposhnikova, T. O. Multipliers in pairs of spaces of potentials. (Russian) Math.Nachr. 99, 363–379.

183. Maz’ya, V. G.; Shaposhnikova, T. O. On the regularity of the boundary in the Lp-theory of ellipticboundary value problems. I. (Russian) Partial differential equations, pp. 39–56, Trudy Sem. S. L.Soboleva, no. 2, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk.

184. Maz’ya, V. G.; Preobrazhenskiı , S. P. Some estimates of (l, p)-capacities and their application toembedding theorems. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 100:1, 25–28.

185. Maz’ya, V. G.; Gel’man, I. V. Estimates for the maximal operator in a half-space. II. (Russian) BeitrageAnal. no. 15, 7–25.

186. Maz’ya, V.; Nazarov, S.; Plamenevskiı, B. Asymptotic behavior of the solutions of a quasilinear equa-tion in nonregular perturbed domains. (Russian) Differentsial’nye Uravneniya i Primenen.—Trudy Sem.Protsessy Optimal. Upravleniya I Sektsiya no.27, 7–50.

1981

187. Maz’ya, Y. G.; Saposnikova, T. O. Multipliers on the spaces Wmp , and their applications. (Russian)

Vestnik Leningrad. Univ. Mat. Mekh. Astronom. no. 1, 42–47.

188. Maz’ya, V. G. On the extension of functions belonging to S. L. Sobolev spaces. (Russian) Investigationson linear operators and the theory of functions, XI. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst.Steklov. (LOMI) 113, 231–236.

189. Maz’ya, V. G.; Shaposhnikova, T. O. Sufficient conditions for belonging to classes of multipliers.(Russian) Math. Nachr. 100, 151–162.

190. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı , B. A. On the asymptotic behavior of the solutions tothe Dirichlet problem in a three-dimensional domain with a cut-out thin body. (Russian) Dokl. Akad.Nauk SSSR 2561, 37–39.

191. Maz’ya, V. G.; Shaposhnikova, T. O. Multipliers in pairs of spaces of differentiable functions. (Russian)Trudy Moskov. Mat. Obshch. 43, 37–80.

13

192. Maz’ya, V. G.; Plamenevskiı , B. A. Properties of solutions of three-dimensional problems of the theoryof elasticity and hydrodynamics in domains with isolated singular points. (Russian) Comm. Math.Phys. 82:2, 99–120.

193. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı , B. A. Asymptotics of the solutions of the Dirichletproblem in a domain with an excluded thin tube. (Russian) Uspekhi Mat. Nauk 36:5 (221), 183–184.

194. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı , B. A. The asymptotic behavior of solutions of theDirichlet problem in a domain with a cut out thin tube. (Russian) Mat. Sb. (N.S.) 116:2, 187–217.

195. Maz’ya, V. G.; Shaposhnikova, T. O. Change of variables as an operator on a pair of S. L. Sobolevspaces. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. no. 1, 43–48.

196. Kresin, G. I.; Maz’ya, V. G. On the maximum principle for Lame and Stokes systems in a half-space.(Russian) Akad. Nauk Armyan. SSR Dokl. 73:1, 46–50.

197. Maz’ya, V. G.; Shaposhnikova, T. O. On the regularity of the boundary in the Lp-theory of ellipticboundary value problems. II. (Russian) Theory of cubature formulas and the application of functionalanalysis to problems of mathematical physics, pp. 57–102, Trudy Sem. S. L. Soboleva, no. 1, Akad.Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk.

198. Vaınberg, B. R.; Maz’ya, V. G. The characteristic Cauchy problem for a hyperbolic equation. (Russian)Trudy Sem. Petrovsk. no. 7, 101–117.

199. Maz’ya, V. G.; Plamenevskiı , B. A. On the maximum principle for the biharmonic equation in adomain with conical points. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. no. 2, 52–59.

200. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı , B. A. On the asymptotic behavior of solutions of ellipticboundary value problems with irregular perturbations of the domain. (Russian) Probl. Mat. Anal., 8,pp. 72–153, Leningrad. Univ., Leningrad.

201. Maz’ya, V. G. On the influence of boundary conditions on imbedding theorems. (Russian) In the book:Boundary value problems of mathematical physics, 66-72, Kiev.

202. Kresin, G. I.; Maz’ya, V. G. The essential norm of an operator of the double-layer potential type in thespace Cm. (Russian) Funkzion. Anal. i Vychisl. Matem. “Nauka”, Alma-Ata, 131-165.

1982

203. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı , B. A. Homogeneous solutions of the Dirichlet problemin the exterior of a thin cone. (Russian) Dokl. Akad. Nauk SSSR 266:2, 281–284.

204. Maz’ya, V. G. Theory of multipliers in spaces of differentiable functions and its applications. Nonlinearanalysis, function spaces and applications, Vol. 2 (P’ısek, 1982), pp. 150–190, Teubner-Texte zur Math.49, Teubner, Leipzig.

205. Kerimov, T. M.; Maz’ya, V. G.; Novruzov, A. A. An analogue of Wiener’s criterion for the Zarembaproblem in a cylindrical domain. (Russian) Funktsional. Anal. i Prilozhen. 16:4, 70–71.

206. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı , B. A. Asymptotic behavior of the solution of the Dirichletproblem in a domain with a thin bridge. (Russian) Funktsional. Anal. i Prilozhen. 16:2, 39–46.

207. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı , B. A. Absence of a De Giorgi-type theorem for strongly el-liptic equations with complex coefficients. (Russian) Boundary value problems of mathematical physicsand related questions in the theory of functions, 14. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst.Steklov. (LOMI) 115, 156–168.

1983

14

208. Maz’ya, V. G. Functions with a finite Dirichlet integral in a domain with a cusp at the boundary.(Russian) Investigations on linear operators and the theory of functions, XII. Zap. Nauchn. Sem.Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 126, 117–137.

209. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı , B. A. Calculation of the asymptotics of ”coefficients ofintensity” in the coming together of corner or conic points. (Russian) Zh. Vychisl. Mat. i Mat. Fiz.23:2, 333–346.

210. Zargaryan, S. S.; Maz’ya, V. G. Singularities of solutions of a system of equations of potential theoryfor Zaremba’s problem. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. no. 1, 43–48.

211. Maz’ya, V. G.; Donchev, T. Regularity in the sense of Wiener of a boundary point for a polyharmonicoperator. (Russian) C. R. Acad. Bulgare Sci. 36:2, 177–179.

212. Maz’ya, V. G.; Shaposhnikova, T. O. Theory of multipliers in spaces of differentiable functions. (Rus-sian) Uspekhi Mat. Nauk 38:3 (231), 23–86.

213. Kresin, G. I.; Maz’ya, V. G. The maximum principle for second-order elliptic and parabolic systems.(Russian) Dokl. Akad. Nauk SSSR 273:1, 38–41.

214. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı, B. A. Singularities of solutions of the Dirichlet problemin the exterior of a thin cone. (Russian) Mat. Sb. (N.S.) 122 (164):4, 435–457.

215. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı, B. A. Bending of a near-polygonal plate with a free openboundary. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. no. 8, 34–40.

216. Maz’ya, V. G.; Plamenevskiı, B. A. The first boundary value problem for classical equations of math-ematical physics in domains with piecewise-smooth boundaries. I. (Russian) Z. Anal. Anwendungen2:4, 335–359.

217. Maz’ya, V. G.; Plamenevskiı, B. A. The first boundary value problem for classical equations of math-ematical physics in domains with piecewise smooth boundaries. II. (Russian) Z. Anal. Anwendungen2:6, 523–551.

1984

218. Maz’ya, V. G.; Preobrazenskii, S. P. Estimates for capacities and traces of potentials. Internat. J.Math. Math. Sci. 7:1, 41–63.

219. Maz’ya, V. G. The modulus of continuity of a harmonic function at a boundary point. (Russian)Investigations on linear operators and the theory of functions, XIII. Zap. Nauchn. Sem. Leningrad.Otdel. Mat. Inst. Steklov. (LOMI) 135, 87–95.

220. Maz’ya, V. G.; Poborchiı, S. V. Extension of functions from S. L. Sobolev spaces to the exterior andinterior of a small domain. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. no. 2, 27–32.

221. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı, B. A. Asymptotic expansions of eigenvalues of boundaryvalue problems for the Laplace operator in domains with small openings. (Russian) Izv. Akad. NaukSSSR Ser. Mat. 48:2, 347–371.

222. Maz’ya, V. G.; Kresin, G. I. The maximum principle for second-order strongly elliptic and parabolicsystems with constant coefficients. (Russian) Mat. Sb. (N.S.) 125(167):4, 458–480.

223. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı, B. A. The Dirichlet problem in domains with thin crossconnections. (Russian) Sibirsk. Mat. Zh. 25:2, 161–179.

224. Zargaryan, S. S.; Maz’ya, V. G. The asymptotic form of the solutions of integral equations of potentialtheory in the neighbourhood of the corner points of a contour. (Russian) Prikl. Mat. Mekh. 48:1,169–174; translation in J. Appl. Math. Mech. 48:1, 120–124 (1985).

15

225. Maz’ya, V. G.; Poborchiı, S. V. Extension of functions belonging to S. L. Sobolev spaces into the exteriorof a domain with a cusp on the boundary. (Russian) Dokl. Akad. Nauk SSSR 275:5, 1066–1069.

226. Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiı, B. A. Elliptic boundary value problems in domains of thetype of the exterior of a cusp. (Russian) Linear and nonlinear partial differential equations. Spectralasymptotic behavior, 105–148, Probl. Mat. Anal., 9, Leningrad. Univ., Leningrad.

227. Maz’ya, V. G.; Nazarov, S. A. On the Sapondjan-Babuska paradox for problems of the theory of thinplates. (Russian) Dokl. Acad. Nauk Arm. SSR 48:3, 127-130.

228. Maz’ya, V. G. Uber die Regularitat eines Randpunktes fur elliptisc he Differentialgleichungen. (Ger-man) Linear and complex analysis problem book, 199 research problems, Lecture Notes in Math. 1043,507-514.

229. Maz’ya, V. G. Rossman, J. Uber die Losbarkeit und Asymptotik der Losungen elliptischer Randwer-taufgaben in Gebiten mit Kanten. (German) Akad. der Wiss. der DDR, Inst. fur Math. I PreprintP-Math. 07/84, s. 1-50; II Preprint P-Math. 30/84, s. 1-50; III Preprint P-Math. 31/84, s. 1-50.

1985

230. Kresin, G. I.; Maz’ya, V. G. On the maximum of displacements in a viscoelastic half-space (a three-dimensional model). (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. no. 4, 47–51.

231. Kozlov, V. A.; Maz’ya, V. G.; Parton, V. Z. Asymptotic form of the stress intensity coefficients inquasistatic temperature problems for a domain with a cut. (Russian) Prikl. Mat. Mekh. 49:4, 627–636; translation in J. Appl. Math. Mech. 49:4, 482–489 (1986).

232. Gel’man, I. V.; Maz’ya, V. G. Estimates in a half-space for systems of differential operators withconstant coefficients. (Russian) Qualitative analysis of solutions of partial differential equations, 70–99, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk.

233. Kuznetsov, N. G., Maz’ya, V. G. Asymptotic expansions for transient surface waves due to short-periodoscillating disturbances. (Russian) Proc. Leningrad Shipbuild. Inst./ Math. Modelling and AutomatedDesign in Shipbuilding, 57-64.

1986

234. Maz’ya, V. G.; Nazarov, S. A. The apex of a cone can be irregular in Wiener’s sense for a fourth-orderelliptic equation. (Russian) Mat. Zametki 39:1, 24–28.

235. Maz’ya, V. G.; Kufner, A. Variations on the theme of the inequality (f ′)2 ≤ 2f sup |f”|. ManuscriptaMath. 56:1, 89–104.

236. Kuznetsov, N. G.; Maz’ya, V. G. Asymptotic expansions for surface waves caused by short-term dis-turbances. (Russian) Asymptotic methods, 103–138, ”Nauka” Sibirsk. Otdel., Novosibirsk.

237. Kozlov, V. A.; Maz’ya, V. G. Estimates of the Lp-means and asymptotic behavior of the solutions ofelliptic boundary value problems in a cone. I. The case of the model operator. (Russian) SeminarAnalysis, 55–91, Akad. Wiss. DDR, Berlin.

238. Grachev, N. V.; Maz’ya, V. G. The Fredholm radius of operators of double layer potential type onpiecewise smooth surfaces. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. no. 4, 60–64.

239. Maz’ya, V. G. Boundary integral equations of elasticity in domains with piecewise smooth boundaries.Equadiff 6 (Brno, 1985), 235–242, Lecture Notes in Math., 1192, Springer, Berlin-New York.

240. Maz’ya, V. G.; Poborchiı, S. V. Extension of functions in S. L. Sobolev classes to the exterior of adomain with the vertex of a peak on the boundary. I. (Russian) Czechoslovak Math. J. 36 (111):4,634–661.

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241. Maz’ya, V. G.; Nazarov, S. A. Paradoxes of the passage to the limit in solutions of boundary valueproblems for the approximation of smooth domains by polygons. (Russian) Izv. Akad. Nauk SSSR Ser.Mat. 50:6, 1156–1177.

242. Maz’ya, V. G. On potential theory for the Lame system in a domain with a piecewise smooth boundary.(Russian) Partial differential equations and their applications (Tbilisi, 1982), 123–129, Tbilis. Gos.Univ., Tbilisi.

243. Maz’ya, V. G., Slutskii, A. S., Fomin, V. A. Asymptotic behaviour of the stress function near the vertexof a crack in the problem of torsion under steady-state creep. (Russian) Mech. Tverd. Tela 4, 170-176.

1987

244. Maz’ya, V. G.; Sulimov, M. G. Asymptotic behavior of solutions of one-dimensional difference equationswith constant operator coefficients. (Russian) Mat. Sb. (N.S.) 132 (174):4, 451–469.

245. Maz’ya, V. G.; Poborchiı, S. V. Extension of functions in S. L. Sobolev classes to the exterior of adomain with the vertex of a peak on the boundary. II. (Russian) Czechoslovak Math. J. 37 (112):1,128–150.

246. Maz’ya, V. G.; Slutskiı, A. S. Averaging of differential equations on a fine grid. (Russian) Dokl. Akad.Nauk SSSR 293:4, 792–796.

247. Kozlov, V. A.; Maz’ya, V. G. Singularities of solutions of the first boundary value problem for the heatequation in domains with conical points. I. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. no. 2, 38–46.

248. Kozlov, V. A.; Maz’ya, V. G. Singularities of solutions of the first boundary value problem for the heatequation in domains with conical points. II. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. no. 3, 37–44.

249. Maz’ya, V. G.; Nazarov, S. A. Asymptotic behavior of energy integrals under small perturbations of theboundary near corner and conic points. (Russian) Trudy Moskov. Mat. Obshch. 50, 79–129.

250. Maz’ya, V. G.; Slutskiı, A. S.Averaging of a differential operator on a fine periodic curvilinear net.(Russian) Math. Nachr. 133, 107–133.

251. Kuznetsov, N. G.; Maz’ya, V. G. Asymptotic expansions for surface waves that can be induced byrapidly oscillating or accelerating perturbations. (Russian) Asymptotic methods, 136–175, ”Nauka”Sibirsk. Otdel., Novosibirsk.

252. Maz’ya, V. G.; Slutskiı, A. S. Averaging of difference equations with rapidly oscillating coefficients.(Russian) Seminar Analysis (Berlin, 1986/87), 63–92, Akad. Wiss. DDR, erlin.

253. Maz’ya, V. G. A boundary integral equation of the Dirichlet problem in a plane domain with a cusp atthe boundary. (Russian) Current problems in mathematical physics, Vol. II (Tbilisi, 1987), 263–270,Tbilis. Gos. Univ., Tbilisi.

1988

254. Maz’ya, V. G.; Solov’ev, A. A. Solvability of an integral equation of the Dirichlet problem in a planedomain with cusps on the boundary. (Russian) Dokl. Akad. Nauk SSSR 298:6, 1312–1315; translationin Soviet Math. Dokl. 37:1, 255–258.

255. Maz’ya, V. G. Classes of domains, measures and capacities in the theory of spaces of differentiablefunctions. (Russian) Current problems in mathematics. Fundamental directions, Vol. 26 (Russian),159–228, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform.,Moscow; English translation: Analysis, III, 141–211, Encyclopaedia Math. Sci., 26, Springer, Berlin,1991.

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256. Maz’ya, V. G. Boundary integral equations. (Russian) Current problems in mathematics. Fundamentaldirections, Vol. 27 (Russian), 131–228, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst.Nauchn. i Tekhn. Inform., Moscow; English translation: Analysis, IV, 127–222, Encyclopaedia Math.Sci., 27, Springer, Berlin, 1991.

257. Maz’ya, V. G.; Solov’ev, A. A. Asymptotic behavior of the solution of an integral equation of theNeumann problem in a plane domain with cusps at the boundary. (Russian) Soobshch. Akad. NaukGruzin. SSR 130:1, 17–20.

258. Maz’ya, V. G.; Rossmann, J. Uber die Asymptotik der Losungen elliptischer Randwertaufgaben in derUmgebung von Kanten. (German) [On the asymptotics of solutions of elliptic boundary value problemsin the neighborhood of edges] Math. Nachr. 138, 27–53.

259. Kozlov, V. A.; Maz’ya, V. G. Estimates of the Lp-means and asymptotic behavior of the solutions ofelliptic boundary value problems in a cone. II. Operators with variable coefficients. (Russian) Math.Nachr. 137, 113–139.

260. Kozlov, V. A.; Maz’ya, V. G. Spectral properties of operator pencils generated by elliptic boundaryvalue problems in a cone. (Russian) Funktsional. Anal. i Prilozhen. 22:2, 38–46, 96; translation inFunctional Anal. Appl. 22: 2, 114–121.

261. Kerimov, T. M.; Maz’ya, V. G.; Novruzov, A. A. A criterion for the regularity of the infinitely distantpoint for the Zaremba problem in a half-cylinder. (Russian) Z. Anal. Anwendungen 7:2, 113–125.

262. Kresin, G. I.; Maz’ya, V. G. A sharp constant in a Miranda-Agmon-type inequality for solutions ofelliptic equations. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. no. 5, 41–50; translation in SovietMath. (Iz. VUZ) 32:5, 49–59.

263. Kozlov, V. A.; Maz’ya, V. G.; Parton, V. Z. Thermal shock in a region with a crack. (Russian) Prikl.Mat. Mekh. 52:2, 318–326; translation in J. Appl. Math. Mech. 52:2, 250–256.

264. Kuznetsov, N. G.; Maz’ya, V. G. Unique solvability of a plane stationary problem connected withthe motion of a body submerged in a fluid. (Russian) Differentsial’nye Uravneniya 24:11, 1928–1940;translation in Differential Equations 24:11, 1291–1301.

265. Kozlov, V. A.; Maz’ya, V. G. An asymptotic formula for eigenfunctions of the Dirichlet problem in adomain with a conic point. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. no. 4, 30–33,;translation in Vestnik Leningrad Univ. Math. 21:4, 36–40.

266. Grachev, N. V.; Maz’ya, V. G. Representations and estimates for inverse operators of integral equationsof potential theory for surfaces with conic points. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 32:1,21–24.

267. Maz’ya, V. G. Inversion formulas for boundary integral equations and their applications. (Russian)Functional and numerical methods in mathematical physics, 127–131, ”Naukova Dumka”, Kiev.

268. Maz’ya, V. G., Poborchiı, S. V. Traces of functions in Sobolev spaces on the boundary of a domainwith a peak. Preprint, MD 87.91, VGM SVP, TR 88-01, University of Maryland.

269. Kuznetsov, N.G.; Maz’ya, V.G. Unique solvability of the plane Neumann-Kelvin problem. (Russian)Mat. Sb. (N.S.) 135 (177):4, 40–462; translation in Math. USSR-Sb. 63 (1989), no. 2, 425–446.

1989

270. Maz’ya, V. G.; Poborchiı, S. V. Traces of functions with a summable gradient in a domain with a cuspat the boundary. (Russian) Mat. Zametki 45:1, 57–65, 140; translation in Math. Notes 45:1-2, 39–44.

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271. Maz’ya, V. G.; Poborchiı, S. V. Traces of functions from S. L. Sobolev spaces on small and largecomponents of the boundary. (Russian) Mat. Zametki 45:4, 69–77, 126; translation in Math. Notes45:3-4, 312–317.

272. Maz’ya, V. G.; Nazarov, S. A. Singularities of solutions of the Neumann problem at a conic point.(Russian) Sibirsk. Mat. Zh. 30:3, 52–63, 218; translation in Siberian Math. J. 30:3, 387–396.

273. Maz’ya, V. G.; Solov’ev, A. A. An integral equation of the Dirichlet problem in a plane domain withcusps on the boundary. (Russian) Mat. Sb. 180:9, 1211–1233.

274. Kozlov, V. A.; Maz’ya, V. G.; Parton, V. Z. Thermal shock in a thin plate with a crack in the presenceof heat exchange with the surrounding medium. (Russian) Izv. Akad. Nauk Armyan. SSR Ser. Mekh.42:2, 41–49.

275. Kresin, G. I.; Maz’ya, V. G. On the maximum modulus principle for solutions of linear parabolicsystems. Seminar Analysis (Berlin, 1988/1989), 41–50, Akad. Wiss. DDR, Berlin.

276. Levin, A. V.; Maz’ya, V. G. Asymptotics of the densities of harmonic potentials near the apex of acone. (Russian) Z. Anal. Anwendungen 8:6, 501–514.

277. Maz’ya, V. G.; Poborchiı, S. V. Traces of functions in Sobolev spaces on a boundary of a domain witha cusp. (Russian) Trudy Inst. Mat. (Novosibirsk) 14, Sovrem. Probl. Geom. Analiz., 182–208;translation in Siberian Advances in Mathematics 1:3 (1991), 75-107.

278. Kozlov, V. A.; Maz’ya, V. G. Iterative procedures for solving ill-posed boundary value problems thatpreserve the differential equations. (Russian) Algebra i Analiz 1:5, 144–170; translation in LeningradMath. J. 1 (1990), no. 5, 1207–1228.

279. Kozlov, V. A.; Kondrat’ev, V. A.; Maz’ya, V. G. On sign variability and the absence of ”strong” zerosof solutions of elliptic equations. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 53:2, 328–344; transla-tion in Math. USSR-Izv. 34 (1990), no. 2, 337–353.

1990

280. Grachev, N. V.; Maz’ya, V. G. The Fredholm radius of integral operators of potential theory. (Russian)Nonlinear equations and variational inequalities. Linear operators and spectral theory, 109–133, Probl.Mat. Anal., 11, Leningrad. Univ., Leningrad.

281. Maz’ya, V. G.; Solov’ev, A. A. On a boundary integral equation for the Neumann problem for a domainwith a peak. (Russian) Trudy Leningrad. Mat. Obshch. 1, 109–134.

282. Kozlov, V.A.; Levin, A.V.; Maz’ya, V. G. A mathematical algorithm for reconstruction of the opticdistribution of the power dencity under the sondage of a laser beam. Preprint 35, Leningrad Departmentof the Institute for Engineering Studies Acad. Nauk SSSR, 1-45.

283. Maz’ya, V. G.; Morozov, N. F.; Nazarov, S. A. On the elastic strain energy release due to the variation ofthe domain near the angular stress concentrator. Preprint, LiTH-MAT-R-90-21, Linkoping University.

284. Kozlov, V. A.; Maz’ya, V. G.; Parton, V. Z. Some mathematical problems of thermoelasticity. Problemsof the long-term strength of power equipment. Proc. of the Polzunov Central Research Institute of powerequipment, Leningrad, no. 260, 55-67.

285. Maz’ya, V. G.; Tashchiyan, G. M. On the behavior of the gradient of the solution of the Dirichletproblem for the biharmonic equation near a boundary point of a three-dimensional domain. (Russian)Sibirsk. Mat. Zh. 31:6, 113–126; translation in Siberian Math. J. 31:6, 970–983 (1991).

1991

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286. Kozlov, V. A.; Maz’ya, V. G.; Fomin, A. V. An iterative method for solving the Cauchy problem forelliptic equations. (Russian) Zh. Vychisl. Mat. i Mat. Fiz. 31:1, 64–74.

287. Kozlov, V. A.; Maz’ya, V. G. On stress singularities near the boundary of a polygonal crack. Proc.Roy. Soc. Edinburgh Sect. A 117:1-2, 31–37.

288. Maz’ya, V. G.; Rossmann, J. On the Agmon-Miranda maximum principle for solutions of ellipticequations in polyhedral and polygonal domains. Ann. Global Anal. Geom. 9:3, 253–303.

289. Grachev, N. V.; Maz’ya, V. G. A contact problem for the Laplace equation in the exterior of theboundary of a dihedral angle. (Russian) Math. Nachr. 151, 207–231.

290. Kozlov, V. A.; Maz’ya, V. G. On the spectrum of an operator pencil generated by the Dirichlet problemin a cone. (Russian) Mat. Sb. 182:5, 638–660.

291. Maz’ya, V. G.; Poborchi, S. V. Boundary traces of functions from Sobolev spaces on a domain witha cusp [translation of Trudy Inst. Mat. (Novosibirsk) 14 (1989), Sovrem. Probl. Geom. Analiz.,182–208; Siberian Advances in Mathematics 1 (1991), no. 3, 75–107.

292. Kozlov, V. A.; Maz’ya, V. G. On the spectrum of an operator pencil generated by the Neumann problemin a cone. (Russian) Algebra i Analiz 3:2, 111–131; translation in St. Petersburg Math. J. 3 (1992),no. 2, 333–353.

293. Grachev, N.; Maz’ya, V. G. Estimates for kernels of the inverse operators of the integral equations ofelasticity on surfaces with conic points. Preprint LiTH-MAT-R-91-07, Linkoping niversity.

294. Grachev, N.; Maz’ya, V. G. Invertibility of the boundary integral operators of elasticity on surfaceswith conic points. Preprint LiTH-MAT-R-91-08, Linkoping University.

295. Grachev, N.; Maz’ya, V. G. Estimates for fundamental solutions of the Neumann problem in a polyhe-dron. Preprint, LiTH-MAT-R-91-28, Linkoping University.

296. Kozlov, V. A.; Maz’ya, V. G. On the asymptotic behaviour of solutions of ordinary differential equationswith operator coefficients I, Preprint, LiTH-MAT-R-91-47, Linkoping University.

297. Grachev, N.; Maz’ya, V. G. Solvability of boundary integral equations in a polyhedron. Preprint, LiTH-MAT-R-91-50, Linkoping University.

298. Maz’ya, V. G. A new approximation method and its applications to the calculation of volume potentials.Boundary point method. DFG-Kolloquium des DFG-Forschungsschwer-puntes “Randelementmetho-den”, 30 September-5 October, Schloss Reisenburg (1991), 8.

1992

299. Kozlov, V. A.; Maz’ya, V. G.; Schwab, C. On singularities of solutions of the displacement problem oflinear elasticity near the vertex of a cone. Arch. Rational Mech. Anal. 119:3, 197–227.

300. Maz’ya, V. G.; Rossmann, J. On the Agmon-Miranda maximum principle for solutions of stronglyelliptic equations in domains of Rn with conical points. Ann. Global Anal. Geom. 10:2, 125–150.

301. Kozlov, V.; Maz’ya, V. Solvability and asymptotic behaviour of solutions of ordinary differential equa-tions with variable operator coefficients. Journees ”Equations aux Derivees Partielles” (Saint-Jean-de-Monts, 1992), Exp. no. V, 12 pp., Ecole Polytech., Palaiseau.

302. Maz’ya, V. G.; Rossmann, J. Stable asymptotics of the solution to the Dirichlet problem for ellipticequations of second order in domains with angular points or edges. Operator calculus and spectraltheory (Lambrecht, 1991), 215–224, Oper. Theory Adv. Appl., 57, Birkhauser, Basel.

303. Maz’ya, V. G.; Mahnke, R. Asymptotics of the solution of a boundary integral equation under a smallperturbation of a corner. Z. Anal. Anwendungen 11:2, 173–182.

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304. Maz’ya, V. G.; Poborchii, S. V. Imbedding theorems for Sobolev spaces in domains with cusps. Preprint,LiTH-MAT-R-92-14, Linkoping University.

305. Maz’ya, V. G.; Slutskii, A. S. An asymptotic solution of a non-linear Dirichlet problem with strongsingularity at the corner point I. Preprint, LiTH-MAT-R-92-15, Linkoping University.

306. Kozlov, V. A.; Maz’ya, V. G. On the asymptotic behaviour of solutions of ordinary differential equationswith operator coefficients I, Preprint, LiTH-MAT-R-92-18, Linkoping University.

307. Kozlov, V. A.; Maz’ya, V. G. On the asymptotic behaviour of solutions of ordinary differential equationswith operator coefficients III, Preprint, LiTH-MAT-R-92-29, Linkoping University.

308. Maz’ya, V.; Rossmann, J. On a problem of Babuska (stable asymptotics of the solution to the Dirichletproblem for elliptic equations of second order in domains with angular points). Math. Nachr. 155,199–220.

1993

309. Maz’ya, V. G.; Hanler, M. Approximation of solutions of the Neumann problem in disintegrating do-mains. Math. Nachr. 162, 261–278.

310. Maz’ya, V. G.; Vaınberg, B. R. On ship waves. Wave Motion 18:1, 31–50.

311. Maz’ya, V.; Sulimov, M. Asymptotics of solutions of difference equations with variable coefficients.Math. Nachr. 161, 155–170.

312. Kresin, G. I.; Maz’ya, V. G. Criteria for validity of the maximum modulus principle for solutions oflinear strongly elliptic second order systems. Potential Anal. 2:1, 73–99.

313. Maz’ya, V. Solvability and asymptotic behavior of solutions of ordinary differential equations withoperator coefficients. Second International Conference on Mathematical and Numerical Aspects ofWave Propagation (Newark, DE, 1993), 354–362, SIAM, Philadelphia, PA.

314. Maz’ya, V. G.; Slodichka, M. Some time-marching algorithms for semilinear parabolic equations basedupon approximate approximations. Preprint, LiTH-MAT-R-93-38, Linkoping University.

1994

315. Kozlov, V.; Maz’ya, V.; Rozin, L., On certain hybrid iterative methods for solving boundary valueproblems. SIAM J. Numer. Anal. 31:1, 101–110.

316. Kozlov, V.; Maz’ya, V.; Fomin, A., The inverse problem of coupled thermoelasticity. Inverse Problems10:1, 153–160.

317. Maz’ya, V. G.; Rossmann, J. On the behaviour of solutions to the Dirichlet problem for second orderelliptic equations near edges and polyhedral vertices with critical angles. Z. Anal. Anwendungen 13:1,19–47.

318. Kresin, G. I.; Maz’ya, V. G. Criteria for validity of the maximum modulus principle for solutions oflinear parabolic systems. Ark. Mat. 32:1, 121–155.

319. Kozlov, V. A.; Maz’ya, V. G.; Parton, V. Z. Asymptotics of the intensity factors for stresses inducedby heat sources. J. Thermal Stresses 17:3, 309–320.

320. Maz’ya, V. Approximate approximations. The mathematics of finite elements and applications (Uxbridge,1993), 77–104, Wiley, Chichester.

321. Kozlov, V. A.; Maz’ya, V. G.; Schwab, C. On singularities of solutions to the Dirichlet problem ofhydrodynamics near the vertex of a cone. J. Reine Angew. Math. 456, 65–97.

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322. Kozlov, V. A.; Maz’ya, V. G.; Movchan, A. B. Asymptotic analysis of a mixed boundary value problemin a multi-structure. Asymptotic Anal. 8:2, 105–143.

323. Carlsson, A.; Maz’ya, V., On approximation in weighted Sobolev spaces and self-adjointness. Math.Scand. 74:1, 111–124.

324. Maz’ya, V.; Karlin, V., Semi-analytic time-marching algorithms for semi-linear parabolic equations.BIT 34:1, 129–147.

1995

325. Maz’ya, V. G.; Poborchiı, S. V. On traces of functions in S. L. Sobolev spaces on the boundary of athin cylinder. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzii 99, 17–36.

326. Maz’ya, V.; Netrusov, Y., Some counterexamples for the theory of Sobolev spaces on bad domains.Potential Anal. 4:1, 47–65.

327. Maz’ya, V. G.; Verbitsky, I. E. Capacitary inequalities for fractional integrals, with applications topartial differential equations and Sobolev multipliers. Ark. Mat. 33:1, 81–115.

328. Kresin, G. I.; Maz’ya, V. G. The norm and the essential norm of the double layer elastic and hydrody-namic potentials in the space of continuous functions. Math. Methods Appl. Sci. 18:14, 1095–1131.

329. Maz’ya, V.; Schmidt, G., ”Approximate approximations” and the cubature of potentials. Atti Accad.Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 6:3, 161–184.

330. Kozlov, V. A.; Maz’ya, V. G.; Movchan, A. B. Asymptotic representation of elastic fields in a multi-structure. Asymptotic Anal. 11:4, 343–415.

331. Karlin, V.; Maz’ya, V., Time-marching algorithms for initial-boundary value problems based upon ”ap-proximate approximations”. BIT 35:4, 548–560.

1996

332. Maz’ya, V.; Schmidt, G., On approximate approximations using Gaussian kernels. IMA J. Numer.Anal. 16:1, 13–29.

333. Maz’ya, V. G.; Poborchi, S. V. Extension of functions in Sobolev spaces on parameter dependentdomains. Math. Nachr. 178, 5–41.

334. Maz’ya, V.; Soloviev, A. A. Boundary integral equations of the logarithmic potential theory for domainswith peaks. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 6 (1995),no. 4, 211–236 (1996).

335. Kozlov, V. A.; Maz’ya, V. G. Singularities in solutions to mathematical physics problems in non-smoothdomains. Partial differential equations and functional analysis, 174–206, Progr. Nonlinear DifferentialEquations Appl., 22, Birkhauser, Boston, MA.

336. Kozlov, V. A.; Maz’ya, V. G. On ”power-logarithmic” solutions of the Dirichlet problem for ellipticsystems in Kd×Rn−d, where Kd is a d-dimensional cone. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat.Natur. Rend. Lincei (9) Mat. Appl. 7:1, 17–30.

1997

337. Kozlov, V. A.; Maz’ya, V. G. On ”power-logarithmic” solutions to the Dirichlet problem for the Stokessystem in a dihedral angle. Math. Methods Appl. Sci. 20:4, 315–346.

338. Karlin, V.; Maz’ya, V., Time-marching algorithms for nonlocal evolution equations based upon ”ap-proximate approximations”. SIAM J. Sci. Comput. 18:3, 736–752.

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339. Livshits, M.; Maz’ya, V., Solvability of the two-dimensional Kelvin-Neumann problem for a submergedcircular cylinder. Appl. Anal. 64:1-2, 1–5.

340. Maz’ya, V., Unsolved problems connected with the Wiener criterion. The Legacy of Norbert Wiener:A Centennial Symposium (Cambridge, MA, 1994), 199–208, Proc. Sympos. Pure Math., 60, Amer.Math. Soc., Providence, RI.

341. Maz’ya, V.; Soloviev, A. Lp-theory of a boundary integral equation on a cuspidal contour. Appl.Anal.65:3-4, 289–305.

342. Kozlov, V. A.; Maz’ya, V. G. On ”power-logarithmic” solutions to the Dirichlet problem for the Stokessystem in a dihedral angle. Math. Methods Appl. Sci. 20:4, 315–346.

343. Maz’ya, V. Asymptotic theory of operator differential equations and its applications. Modern mathe-matical methods in diffraction theory and its applications in engineering (Freudenstadt, 1996), 163–173,Methoden Verfahren Math. Phys., 42, Lang, Frankfurt am Main.

344. Kuznetsov, N.; Maz’ya, V. Asymptotic analysis of surface waves due to high-frequency disturbances.Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 8:1, 5–29.

345. Kozlov, V.; Maz’ya, V. G.; Rossmann, J. Spectral properties of operator pencils generated by ellipticboundary value problems for the Lame system. Rostock. Math. Kolloq. no. 51, 5–24.

346. Maz’ya, V. G. Boundary integral equations on a contour with peaks. IABEM Symposium on BoundaryIntegral Methods for Nonlinear Problems (Pontignano, 1995), 145–153, Kluwer Acad. Publ., Dordrecht.

1998

347. Maz’ ya, V.; Soloviev, A. Lp-theory of boundary integral equations on a contour with inward peak. Z.Anal. Anwendungen 17:3, 641–673.

348. Maz’ ya, V., Soloviev A. Lp-theory of boundary integral equations on a contour with outward peak.Integral Equations Operator Theory 32:1, 75–100.

349. Kresin, G.I., Maz’ya, V.G. On the maximum modulus principle for linear parabolic systems with zeroboundary data. Functional Differential Equations 5:1–2, 165–181.

350. Maz’ya, V. From Warschawski’s conformal mapping theorem to higher order multi-dimensional ellipticequations. Analysis, numerics and applications of differential and integral equations. Pitman Res.Notes Math. Ser., 379, Longman, Harlow, 137–142.

351. Kozlov, V.; Maz’ya, V. Comparison principles for nonlinear operator differential equations in Banachspaces. Birman’s 70-th Anniversary Collection, American Mathematical Society, Translations 2, 189,149–157.

352. Maz’ ya, V., Soloviev A. Integral equations of logarithmic potential theory in Holder spaces, on contourswith peak. (Russian) Algebra i Analiz 10:5, 85-142. English translation in St. Petersburg Math. J. 10(1999), No. 5.

353. Kozlov, V.A., Maz’ya, V., Rossmann, J. Conic singularities of solutions to problems in hydrodynamicsof a viscous fluid with a free surface. Math. Scand. 83, 103-141.

354. Kresin, G.I., Maz’ya, V.G. On the maximum principle with respect to smooth norms for linear stronglycoupled parabolic systems. Functional Differential Equations 5 No. 3-4 (1998), 349–376.

1999

355. Maz’ya, V.; Netrusov, Y.; Poborchi, S. Boundary values of Sobolev functions on non-Lipschitz domainsbounded by Lipschitz surfaces. Algebra i Analiz (Russian), 11:1, 141–170.

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356. Langer, M.; Maz’ya, V. On Lp-contractivity of semigroups generated by linear partial differential oper-ators. J. Funct. Anal. 164 (1999), no. 1, 73–109.

357. Maz’ya, V.; Shaposhnikova, T. On pointwise interpolation inequalities for derivatives. MathematicaBohemica, 124:2-3 (1999), 131–148.

358. Kozlov, V., Maz’ya, V. Angle singularities of solutions to the Neumann problem for the two-dimensionalRiccati equation. Asymptot. Anal. 19 (1999), no. 1, 57–79.

359. Kresin, G.I., Maz’ya, V.G. Criteria for validity of the maximum norm principle for parabolic systems.Potential Analysis 10 (1999), 3, 243–272.

360. Hansson, K.; Maz’ya, V.; Verbitsky, I. Criteria of solvability for multidimensional Riccati’s equations.Ark. for Mat., 37:1 (1999), 87–120.

361. Maz’ya, V. On the Wiener-type regularity of a boundary point for the polyharmonic operator. Appl.Anal. 71 (1999), 1-4, 149–165.

362. Maz’ya, V., Schmidt, G. Approximate wavelets and the approximation of pseudodifferential operators.Appl. Comput. Harmon. Anal. 6 (1999), 3, 287–313.

363. Maz’ya, V. On Wiener-type regularity of a boundary point for higher-order elliptic equations. In Non-linear Analysis, Function Spaces and Applications, vol. 6, Math. Inst. Czech Acad. of Sci., Prague,1999, 19–155.

364. Ivanov, T., Maz’ya, V., Schmidt, G. Boundary layer approximate approximations and cubature ofpotentials in domains. Adv. Comput. Math. 10 (1999), no. 3-4, 311–342.

365. Kozlov, V., Maz’ya, V., Boundary singularities of solutions to quasilinear elliptic equations, JourneesEquations aux erivees partilelles, 31 mai-4 juin 1999 GDR 1151 (CNRS), VII-1–9. 131–148

366. Ivanov, T., Maz’ya, V., Schmidt, G., Construction of Basis Functions for High Order ApproximateApproximations, Bonnet, M., Sandig, A-M, Wendland, W. (Eds), Mathematical Aspects of BoundaryElement Methods, Chapman & Hall/CRC Research Notes in Mathematics, London, 1999, 165–177.

367. Maz’ya, V., Schmidt, G., Boundary Layer Approximate Approximations for Cubature of Potentials,Bonnet, M., Sandig, A-M, Wendland, W. (Eds), Mathematical Aspects of Boundary Element Methods,Chapman & Hall/CRC Research Notes in Mathematics, London, 1999, 191–202.

368. Maz’ya, V., Soloviev, A., Lp-Theory of Direct Boundary Integral Equations on a Contour with Peak,Bonnet, M., Sandig, A-M, Wendland, W. (Eds), Mathematical Aspects of Boundary Element Methods,Chapman & Hall/CRC Research Notes in Mathematics, London, 1999, 203–214.

369. Maz’ya, V. , Criteria for validity of the maximum modulus and the maximum norm principles forsolutions of linear parabolic systems, Complex analysis and differential equations (Uppsala, 1997),Acta Univ. Upsaliensis Skr. Uppsala Univ. C Organ. Hist., 64, Uppsala Univ., Uppsala, 1999, pp249–254

2000

370. Maz’ya, V., Slutskiı, A., Asymptotic analysis of the Navier-Stokes system in a plane domain with thinchannels, Asympt. Anal., 23, no. 1, pp 59-89.

371. Bjorn J., Maz’ya, V. Capacity estimates for solutions of the Dirichlet problem for second order ellipticequations in divergence form , Potential Analysis, 12, no. 1, pp 81–113.

372. Maz’ya, V., Shaposhnikova, T. , Pointwise interpolation inequalities for Riesz and Bessel potentials,Analytical and computational methods in scattering and applied athematics, Chapman & Hall/CRCRes. Notes Math., 417, pp 217–229.

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373. Karlin, V., Maz’ya, V., Movchan, A., Willis, J., Bullough, R., Numerical analysis of nonlinear hyper-singular integral equations of the Peierls type in dislocation theory , SIAM J. Appl. Anal., 60, no. 2,pp 664–678.

374. Maz’ya, V.; Shaposhnikova, T., Traces and extensions of multipliers in pairs of Sobolev spaces, Oper-ator Theory: Advances and Applications, 113, Birkhauser, 2000, pp 221–237.

375. Maz’ya, V., Movchan, A., Dynamic singular perturbation for multi-structures, Applied Stochastic Mod-els in Business and Industry, 16, pp 249-278.

376. Maz’ya, V., In memory of Gaetano Fichera, Problemi Attuali dell’Analisi e della Fisica Matematica,pp 1–4, Arcane.

377. Kuznetsov, N., Maz’ya, V., On a well-posed formulation of the two dimensional Neumann–Kelvinproblem for a surface-piercing body , Problemi Attuali dell’Analisi e della Fisica Matematica, pp 77–109, Arcane.

378. Maz’ya, V., Shaposhnikova, T., Maximal Banach Algebra in spaces of multipliers between Bessel po-tential spaces, , Operator Theory: Advances and Applications, Siegfried Proßdorf Memorial Volume,Birkhauser Verlag, 121, pp 352-365.

379. Kuznetsov, N., Maz’ya, V., Water-wave problem for a vertical shell , Mathematica Bohemica, 126,no. 2, pp 411-420.

380. Kresin, G.I., Maz’ya, V.G., Fichera’s maximum principle in elastostatics revisited and related topics,Quaderni di Matematica, 7, pp 207–231.

381. Kozlov, V., Maz’ya, V., Movchan, A., Fields in nondegenerate 1D–3D elastic multistructures, TheQuarterly Journal of Mechanics and Applied Mathematics, 4:2, 177-212. .

382. Maz’ya, V., The Wiener test for higher order elliptic equations, Report No. 38, 1999/2000, InstitutMittag-Leffler, pp 1–41.

383. Kuznetsov, N.; Maz’ya, V.; Vainberg, B., Lectures on linear time-harmonic water waves, Technicalreport series, Dept. of Math., University of North Carolina at Charlotte, pp 1–207, July 2000.

2001

384. Maz’ya, V., Schmidt, G., On quasi–interpolation with non-uniformly distributed centers on domainsand manifolds, J. Approx. Theory, 110, pp 125-145.

385. Maz’ya, V., In memory of Siegfried Proßdorf , Operator Theory: Advances and Applications, 121, pp4–8, Birkhauser Verlag.

386. Kozlov, V., Maz’ya, V., Boundary behavior of solutions to linear and nonlinear elliptic equations inplane convex domains, Mathematical Research Letters, 8, pp 1-5.

387. Maz’ya, V., Soloviev, A. Boundary integral equations of plane elasticity theory in domains with peaks,Georgian Mathematical Journal 8:3, 517-614. Addendum: Georgian Mathematical Journal 9:2, 403–404.

2002

388. Maz’ya V. The Wiener test for higher order elliptic equations, Duke Mathematical Journal, 115:3,479–512.

25

389. Maz’ya, V., Verbitsky, I., Boundedness and compactness criteria for the one-dimensional Schrodingeroperator , Function Spaces, Interpolation Theory and Related Topics (Lund, 2000), pp 369–382, deGruyter, Berlin.

390. Maz’ya, V., Rossmann J., Point estimates for Green’s matrix to boundary value problems for secondorder elliptic systems in a polyhedral cone, Z. Angew. Math. Mech., 82, no. 5, pp 291-316.

391. Maz’ya, V., Shaposhnikova, T., An elementary proof of the Brezis and Mironescu theorem on thecomposition operator in fractional Sobolev spaces, Journal of Evolution Equations, 2, pp 113-125.

392. Maz’ya, V., Shaposhnikova, T., Sharp pointwise interpolation inequalities for derivatives, Journal ofFunctional Analysis and its Applications, 36, no. 1, pp 36-58.

393. Maz’ya, V., Shaposhnikova, T. On the Bourgain, Brezis and Mironescu theorem concerning limitingembeddings of fractional Sobolev spaces, Journal of Functional Analysis, 195, 230-238.

394. Maz’ya, V., Shaposhnikova, T. On the Brezis and Mironescu conjecture concerning a Gagliardo-Nirenberg type inequality for fractional Sobolev norms, Journal de Mathematiques Pures et Appliquees,81, 877-884.

395. Kresin, G.I., Maz’ya, V.G., Sharp parametric estimates for analytic and harmonic functions related toHadamard-Borel-Caratheodory inequalities, Functional Differential Equations, 9, no. 1, pp 135–163.

396. Maz’ya, V., Verbitsky, I. The Schrodinger operator on the energy space: boundedness and compactnesscriteria, Acta Mathematica, 188, 263–302.

397. Maz’ya, V. Wiener’s test for higher order elliptic equations, Proceedings of the International Congressof Mathematicians, vol.3, Invited lectures, Beijing, pp. 189-195.

398. Maz’ya, V., Shaposhnikova, T., A survey of pointwise interpolation inequalities for integer and frac-tional derivatives, Acoustics, Mechanics, and the Related Topics of Mathematical Analysis, pp 212-221,World Scientific.

2003

399. Kozlov, V.A., Maz’ya V.G., Asymptotics of a singular solution to the Dirichlet problem for ellipticequations with discontinuous coefficients near the boundary , Function Spaces, Differential Operatorsand Nonlinear Analysis, pp 75-115, Birkhauser.

400. Maz’ya, V., Schmidt, G., Wendland, W., On the computation of multi-dimensional single layer har-monic potentials via approximate approximations, Calcolo, 40, no. 1, pp 33-53.

401. Maz’ya, V., Rossmann, J., Weighted Lp estimates of solutions to boundary value problems for secondorder elliptic systems in polyhedral domains, Z. Angew. Math. Mech., 83, no. 7, pp 435-467.

402. Kresin, G.I., Maz’ya, V.G., Best constants in the Miranda-Agmon inequalities for solutions of ellipticsystems and the classical maximum modulus principle for fluid and elastic half-spaces, ApplicableAnalysis, 82, no. 2, pp 157-185.

403. Karlin, V., Maz’ya, V., Schmidt, G. High accurate periodic solutions to the Sivashinsky equation,Journal of Computational Physics, 188, 209-231.

404. Hellsten H., Maz’ya V., Vainberg B. On the spectrum of waves produced by moving point sources onthe sea surface, and a related inverse problem, Wave Motion, 38, 345-354.

405. Maz’ya, V., Soloviev, A., The direct method for boundary integral equations on a contour with peak ,Georgian Mathematical Journal, 10, no. 3, pp 573-593.

26

406. Maz’ya, V., Shaposhnikova, T., Erratum to: ”On the Bourgain, Brezis and Mironescu theorem con-cerning limiting embeddings of fractional Sobolev space”, Journal of Functional Analysis, 201, no. 1,pp 298-300.

407. Maz’ya, V., Applications of Isoperimetric and Isocapacitary Inequalities to the Theory of SobolevSpaces, Graduate Texts in Mathematics, 4, University of Helsinki, pp 1-39.

408. Kozlov, V.A., Maz’ya, V.G., Asymptotic formula for solutions to the Dirichlet problem for ellipticequations with discontinuous coefficients near the boundary , Ann. Scuola. Norm. Sup. Pisa, 2, no. 3,pp 551-600.

409. Maz’ya, V., Lectures on Isoperimetric and Isocapacitary Inequalities in the Theory of Sobolev Spaces,Contemporary Mathematics, 338, Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces,American Math. Society, pp 307-340.

410. Kresin, G.I., Maz’ya, V.G., Sharp estimates for derivatives of analytic functions related to Hadamard-Borel-Caratheodory, Caratheodory and Landau inequalities, Funct. Diff. Equat., 10, no. 3-4, pp493-533.

411. Maz’ya, V., Rossmann, J. Estimates for Green’s matrix of boundary value problems for the Stokessystem in a polyhedral cone (Preprint ESI 1419).

2004

412. Maz’ya, V., Elschner, J., Rehberg, J., Schmidt, G., Solutions for quasilinear, nonsmooth evolutionsystems in Lp, Archive for Rat. Mech. Analysis, 171, no. 2, pp 219-262.

413. Maz’ya, V., Rossmann, J., Schauder estimates for solutions to boundary value problems for secondorder elliptic systems in polyhedral domains, Appl. Analysis, 83, no. 3, pp 271-308.

414. Kondratiev V., Maz’ya V., Shubin M., Discretness of spectrum and strict positivity criteria for magneticSchrodinger operators, Comm. Partial Differential Equations, 29, no. 3-4, pp 489-521.

415. Maz’ya, V., Verbitsky, I., The form boundedness criterion for the relativistic Schrodinger operator ,Ann. Inst. Fourier, 54, no. 2, pp 317-339.

416. Maz’ya, V., Remembering Erhard Meister , Operator Theoretical Methods and Applications to Math-ematical Physics: The Erhard Meister Memorial Volume, Birkhauser, pp 83-87.

417. Maz’ya, V., Shaposhnikova, T., Characterization of multipliers in pairs of Besov spaces, Operator The-oretical Methods and Applications to Mathematical Physics: The Erhard Meister Memorial Volume,Birkhauser, pp 365-387.

418. Kozlov, V., Maz’ya, V., Sharp conditions for the classical asymptotic behaviour near a point for solu-tions to quasilinear elliptic systems, Asymptotic Analysis, 38, no. 2, pp 143-165.

419. Maz’ya, V., Slutskii A. Asymptotic solution to the Dirichlet problem for a two-dimensional Riccati’stype equation near a corner point, , Asymptotic Analysis, 39, no. 2, pp 169-185.

420. Kozlov, V., Maz’ya, V. An asymptotic theory of higher-order operator differential equations with non-smooth nonlinearities , Journal of Functional Analysis, 217, pp 448-488.

421. Filippas, S., Maz’ya, V., Tertikas, A., Sharp Hardy-Sobolev inequalities, C.R. Acad. Sci. Paris, 339,no. 7, pp 483-486.

422. Kresin, G., Maz’ya, V., Sharp pointwise estimates for analytic functions by Lp-norm of real part ,Complex Variables, 49, no. 14-15, pp 997–1023.

423. Lanzara, F., Maz’ya, V., Schmidt, G., Numerical solution of the Lippmann-Schwinger equation byapproximate approximations, Journal of Fourier Analysis and Applications, 10, no. 6, pp 645–660.

2005

27

424. Maz’ya V., Shaposhnikova, T., Traces of multipliers in pairs of weighted Sobolev spaces, Journal ofFunction Spaces and Applications, 3, pp 91–115.

425. Maz’ya V., Shaposhnikova, T., Higher regularity in the classical layer potential theory for Lipschitzdomains, Indiana University Mathematics Journal, 54, no. 1, pp 99–142.

426. Maz’ya, V., Conductor and capacitary inequalities for functions on topological spaces and their appli-cations to Sobolev type imbeddings, Journal of Functional Analysis, 224, no. 2, pp 408–430.

427. Kozlov, V., Maz’ya, V., Asymptotic formula for solutions to elliptic equations near the Lipschitz bound-ary , Ann. Mat. Pura ed Appl., 184, no. 2, pp 185–213.

428. Maz’ya, V., Shubin, M., Discreteness of spectrum and positivity criteria for Schrodinger operators,Annals of Mathematics, 162, pp 1–24.

429. Cialdea, A., Maz’ya, V., Criterion for the Lp-dissipativity of second order differential operators withcomplex coefficients, Journal de Mathematiques Pures et Appliquees, 84, pp 1067-1100.

430. Gibiansky E., Maz’ya, V., Movchan A., Three-scale asymptotics for a diffusion problem coupled withthe wave equation, Applicable Analysis, 84, no. 6, pp 585–600.

431. Maz’ya, V., Verbitsky, I. Infinitesimal form boundedness and Trudinger’s subordination for the Schrodingeroperator , Inventiones Mathematicae, 161, pp 81–136.

432. Maz’ya, V., Mitrea, M., Shaposhnikova, T., The Dirichlet problem in Lipschitz domains with boundarydata in Besov spaces for higher order elliptic systems with rough coefficients (arXiv.math.AP/0505372)

433. Maz’ya, V., Shubin, M., Can one see the fundamental frequency of a drum? , Letters in MathematicalPhysics, 74, no. 2, pp 135–151.

434. Maz’ya, V., Rossmann, J., Pointwise estimates for Green’s kernel of a mixed boundary value problemto the Stokes system in a polyhedral cone, Math. Nachr., 278, no. 15, pp 1766–1810.

2006

435. Maz’ya, V., Verbitsky, I., Form boundedness of the general second order differential operator , Comm.Pure Appl. Math., 59, no. 9, pp 1286–1329.

436. Mazya, V., J. Rossmann, J., Schauder estimates for solutions to a mixed boundary value problems forStokes system in polyhedral domains, Math. Methods Appl. Sci., 29, no. 9, pp 965–1017.

437. Maz’ya, V., Movchan, A., Uniform asymptotic formulae for Green’s functions in regularly and singularlyperturbed domains, C. R. Math. Acad. Sci. Paris, 343, no. 3, pp 185–190.

438. Maz’ya, V., Conductor inequalities and criteria for Sobolev type two-weight imbeddings, J. Comput.Appl. Math., 194, no. 1, pp 94–114.

439. Filippas, S., Maz’ya, V., Tertikas, A., On a question of Brezis and Marcus, Calc. Var. PartialDifferential Equations, 25, no. 4, pp 491–501.

440. Cialdea, A., V. Maz’ya, V., Criteria for the Lp-dissipativity of systems of second order differentialequations, Ric. Mat., 55, no. 2, pp 233-265.

441. Mazya, V., Poborchi, S., Embedding theorems for Sobolev spaces on a domains with a peak and inHolder domains, Algebra i Analiz, 18, no. 4, pp 95-126.

2007

442. Maz’ya, V., Analytic criteria in the qualitative spectral analysis of the Schrodinger operator , Spectraltheory and mathematical physics: a Festschrift in honor of Barry Simon’s 60th birthday, Proc. Sympos.Pure Math., Part 1, Amer. Math. Soc., Providence, RI, 76, pp 257–288.

28

443. Maz’ya, V., McOwen, R., Asymptotics for solutions of elliptic equations in double divergence form,Comm. in Partial Diff. Eq., 32, pp 191-207.

444. Filippas, S., Maz’ya, V., Tertikas, A., Critical Hardy-Sobolev inequalities, Journal de Math. Pure etAppl., 87, pp 37-56.

445. Maz’ya, V., Poborchi, S., On solvability of the Neumann problem in an energy space for a domain withpeak , Georgian Math. J., 14, no. 3, pp 499-518.

446. Maz’ya, V., Rossmann, J., Lp estimates of solutions to mixed boundary value problems for the Stokessystem in polyhedral domains, Math. Nachr., 280, no. 7, pp 751-793.

447. Maz’ya, V., Movchan, A., Uniform asymptotic formulae for Green’s kernels in regularly and singularlyperturbed domains, J. Comput. Appl. Math., 208, no. 1, pp 194-206.

448. Maz’ya, V., Schmidt, G., Potentials of Gaussians and approximate wavelets, Math. Nachr., 280,no. 9-10, pp 1176–1189. ( arXiv:math. SP/0601057)

449. Kresin, G., Maz’ya, V., Sharp Bohr’s type real part theorem, Comput. Methods Funct. Theory, 7,no. 1, pp 151-165.

450. Maz’ya, V., A new type of integral equations related to the co-area formula (reduction of dimension inmulti-dimensional integral equations), J. Funct. Anal., 245, no. 2, pp 493–504.

451. Lanzara, F., Maz’ya, V., Schmidt, G., Approximate approximations from scattered data, J. Approx.Theory, 145, no. 2, pp 141–170.

452. Kresin, G., Maz’ya, V., Sharp pointwise estimates for solutions of strongly elliptic second order systemswith boundary data from Lp., Appl. Analysis, 86, no. 7, pp 783-805.

453. Luo, G., Maz’ya, V., Weighted positivity of second order elliptic systems, Potential. Anal., 27, no. 3,pp 251-270.

454. Maz’ya, V. G., Movchan, A. B., Nieves, M. J., Uniform asymptotic formulae for Green’s tensors inelastic singularly perturbed domains, Asymptot. Anal., 52, no. 3-4, pp 173-206.

455. Maz’ya, V., Bourgain-Brezis type inequality with explicit constants, Interpolation Theory and Appli-cations, Contemporary Mathematics, 445, pp 247-264.

456. Lanzara, F., Maz’ya, V., Schmidt, G., Approximate approximations on nonuniform grids, Matem-atiche (Catania), 62, no. 2, pp 303–318.

2008

457. Maz’ya, V., Poborchi, S., On solvability of the Neumann problem for a planar domain with peak ,Vestnik SPbGU, 41, no. 2, pp 145–160.

458. Maz’ya, V., Poborchi, S., On solvability of the Neumann problem in a domain with peak , (Russian)Algebra and Analysis, 20, no. 5, pp 108–153.

459. Lanzara, F., Maz’ya, V., Schmidt, G., Approximate approximations with data on a perturbed uniformgrid , Z. Anal. Anwend., 27, no. 3, pp 323–338.

460. Costin, O., Maz’ya, V., Sharp Hardy-Leray inequality for axisymmetric divergence-free fields, Calc.Var. Partial Differential Equations, 32, no. 4, pp 523–532.

461. Cianchi, A., Maz’ya, V., Neumann problems and isocapacitary inequalities, J. Math. Pures Appl., 89,pp 71–105.

462. Maz’ya, V., Shaposhnikova, T., A Collection of sharp dilation invariant integral inequalities for differ-entiable functions, Sobolev Spaces in Mathematics I. Sobolev Type Inequalities, pp 223–248, Springer.

29

463. Costea, S., Maz’ya, V., Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities,Sobolev Spaces in Mathematics II. Applications in Analysis and Partial Differential Equations, pp103–122, Springer.

464. Maz’ya, V., Movchan, A., Uniform asymptotics of Green’s kernels for mixed and Neumann problemsin domains with small holes and inclusions, Sobolev Spaces in Mathematics III. Applications in Math-ematical Physics, pp 277–316, Springer.

465. Maz’ya,V., Movchan, A., Nieves, M., Uniform asymptotic formulae for Green’s tensors inelastic singu-larly perturbed domains with multiple inclusions, Rendiconti Accademia Nazionale delle Scienze dettadei XL, Memorie di Matematica e Applicazioni, 124, XXX, no. 1, pp 103-158.

466. Lang, J., Maz’ya, V., Essential norms and localization moduli of Sobolev embeddings for general do-mains, J. London Math. Soc., 78, no. 2, pp 373–391.

467. Maz’ya, V., Rossmann, J., Mixed boundary value problems for the stationary Navier-Stokes System inpolyhedral domains, Arch. Rational Mech. Anal., no. DOI 10.1007/s00205-008-0171-z.

468. Mayboroda, S., Maz’ya, V., Boundedness of the Hessian of a biharmonic function in a convex domain,Communications on Partial Differential Equations, 33, no. 8, pp 1439–1454.

469. Maz’ya, V., Movchan, A., Uniform asymptotic approximations of Green’s functions in a long rod , Math.Meth. Appl. Sci., 31, pp 2055–2068.

2009

470. Mayboroda, S., Maz’ya, V., Boundedness of the gradient of a solution and Wiener test of order onefor the biharmonic equation, Invent. Math., 175, no. 2, pp 287–334.

471. Maz’ya, V., Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convexdomain, C.R. Acad. Sci. Paris, Ser. I, 347, pp 517-520.

472. Kozlov, V. A., Maz’ya, V. G., Fomin, A. V., Uniqueness of the solution of an inverse problem ofthermoelasticity , Zh. Vychisl. Mat. Mat. Fiz. (Russian), 49, no. 3, pp 542–548.

473. Maz’ya, V., Shaposhnikova, T., A collection of sharp dilation invariant integral inequalities for differ-entiable functions, Sobolev spaces in mathematics. I, Int. Math. Ser. (N. Y.), 8, Springer, New York,pp 223–247.

474. Maz’ya, V., Integral and isocapacitary inequalities, Linear and complex analysis, Amer. Math. Soc.Transl. Ser. 2, 226, Amer. Math. Soc., Providence, RI, pp 85–107.

475. Jin, T., Maz’ya, V., Van Schaftingen, J., Pathological solutions to elliptic problems in divergence formwith continuous coefficients, C. R. Math. Acad. Sci. Paris, 347, no. 13-14, pp 773–778.

476. Maz’ya, V., Movchan, A., Uniform asymptotics of Green’s kernels for mixed and Neumann problemsin domains with small holes and inclusions, Sobolev Spaces in Mathematics. III, Int. Math. Ser. (N.Y.), 10, Springer, New York, pp 277–316.

477. Maz’ya, V., Rossmann, J., A maximum modulus estimate for solutions of the Navier-Stokes system indomains of polyhedral type, Math. Nachr., 282, no. 3, pp 459–469.

478. Costea, S., Maz’ya, V., Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities,Sobolev spaces in mathematics. II, Int. Math. Ser. (N. Y.), 9, Springer, New York, pp 103–121.

479. Kondratiev, V., Maz’ya, V., Shubin, M.,, Gauge optimization and spectral properties of magneticSchrodinger operators, Communications in Partial Differential Equations, 34, no. 10, pp 1127–1146.

480. Maz’ya, V., Mitrea, M., Shaposhnikova, T., The nonhomogeneous Dirichlet problem for the Stokessystem in Lipschitz domains with unit normal close to VMO , Funct. Anal. Appl., 43, no. 3, pp217–235.

30

481. Maz’ya, V., On the boundedness of first derivatives for solutions to the Neumann-Laplace problem ina convex domain, J. Math. Sci. (N. Y.), 159, no. 1, pp 104–112.

2010

482. Maz’ya, V., Poborchii, S., On solvability of boundary integral equations of potential theory for a mul-tidimentional cusp domain, J. of Math. Sciences, 164, no. 3, pp 403–414.

483. Cialdea, A., Maz’ya, V., A quasicommutativity property of the Poisson and composition operators, J.of Math. Sciences, 164, no. 3, pp 415–426.

484. Maz’ya, V., Estimates for differential operators of vector analysis involving L1-norm, J. Eur. Math.Soc., 12, no. 1, pp 221–240.

485. Kresin, G., Maz’ya, V., Optimal estimates for the gradient of harmonic functions in the multidimen-sional half-space, Discrete and Continuous Dynamical Systems, A special issue dedicated to LouisNirenberg on the occasion of his 85th birthday, AIMS, 28, no. 2, pp 425–440.

486. Maz’ya, V., Mitrea, M., Shaposhnikova, T., The Dirichlet problem in Lipschitz domains for higherorder elliptic systems with rough coefficients, Journal d’Analyse Mathematique, 110, pp 167–239.

487. Luo, G., Maz’ya, V., Wiener type regularity of a boundary point for the 3D Lame system, PotentialAnal., 32, no. 2, pp 133 – 151.

488. Maz’ya, V., Movchan, A., Asymptotic treatment of perforated domains without homogenization, Math.Nachr., 283, no. 1, pp 104–125.

489. Alvino, A., Cianchi, A., Maz’ya, V., Mercaldo, A., Well-posed elliptic Neumann problems involvingirregular data and domains, Ann. Inst. H. Poincare Anal. Non Lineaire, 27, no. 4, pp 1017–1054.

490. Maz’ya, V., McOwen, R., On the fundamental solution of an elliptic equation in nondivergence form,Nonlinear Partial Differential Equations and Related Topics, Amer. Math. Soc. Transl. Ser. 2, 229,pp 145–172.

491. Maz’ya, V., Movchan, A., Nieves, M., Green kernels for transmission problems in bodies with smallinclusions, Operator Theory and its Applications. In memory of V.B. Lidsky (1924–2008), Amer.Math. Soc. Transl. Ser. 2, 231, pp 127–160.

2011

492. Alvarado, R., Brigham, D., Maz’ya, V., Mitrea, M., Ziade, E., Sharp geometric maximum principlesfor semi-elliptic operators with singular drift , Math. Res. Lett., 18, no. 4, pp 613–620.

493. Lanzara, F., Maz’ya, V., Schmidt, G., On the fast computation of high dimensional volume potentials,Math. Comp., 80, no. 274, pp 887–904.

494. Cianchi, A., Maz’ya, V., Global Lipschitz regularity for a class of quasilinear elliptic equations, Comm.Partial Differential Equations, 36, no. 1, pp 100–133.

495. Maz’ya, V., McOwen, R., Differentiability of solutions to second-order elliptic equations via dynamicalsystems, J. Diff. Equations, 250, pp 1137 – 1168.

496. Maz’ya, V., Shaposhnikova, T., Tampieri, D., Solomon Grigoryevich Mikhlin, MacTutor, March 2011,pp 1–5.

497. Maz’ya, V., Shaposhnikova, T., Recent progress in elliptic equations and systems of arbitrary orderwith rough coefficients in Lipschitz domains, Bulletin of Mathematical Sciences, 1, no. 1, pp 33–77.

498. Galaktionov, V.A., Maz’ya, V., Boundary characteristic point regularity for semilinear reaction-diffusionequations: towards an ODE criterion, J. of Mathematical Sciences, 175, no. 3.

31

499. Maz’ya, V., Shaposhnikova,T., Brezis-Gallouet-Wainger type inequality for irregular domains, ComplexVariables and Elliptic Equations, 56, no. 10, pp 991–1002.

500. Maz’ya, V., Poborchi, S., Existence and uniqueness of the energy solution to the Dirichlet problem forthe Laplace equation in the exterior of a multi-dimensional paraboloid , J. of Math. Sciences, 172,no. 4, pp 532–554.

501. Kamotski, I., Maz’ya, V., On the third boundary value problem in domains with cusps, J. of Math.Sciences, 173, no. 5, pp 609-631.

502. Alvarado, R., Brigham, D., Maz’ya, V., Mitrea, M., Ziade, E., On the regularity of domains satisfyinga uniform hour-glass condition and sharp version of the Hopf-Oleinik boundary point principle, J. ofMath. Sciences, 176, no. 3, pp 281–360.

503. Kresin, G., Maz’ya, V., Sharp real part theorems in the upper halfplane and similar estimates forharmonic functions, J. of Math. Sciences, 179, no. 1, pp 144–163.

2012

504. Kresin, G., Maz’ya, V., Sharp real part theorems for higher order derivatives, J. of Math. Sciences,181, no. 2, pp 107–125.

505. Galaktionov, V.A., Maz’ya, V., Boundary characteristic point regularity for Navier-Stokes equations:Blow-up scaling and Petrovskii-type criterion (a formal approach), Nonlinear Anal., 75, no. 12, pp4534–4559.

506. Maz’ya, V., Movchan, A., Uniform asymptotics of Green’s kernels in perforated domains and meso-scaleapproximations, Complex Var. Elliptic Equ., 57, no. 2–4, pp 137–154.

507. Maz’ya, V., Representations and estimates for inverse operators in the harmonic potential theory forpolyhedra, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 23, no. 3,pp 229–258.

508. Grachev, N., Maz’ya, V., Estimates for kernels of inverse operators of integral equations of elasticitytheory on surfaces with conic points, J. Math. Sci. (N. Y.), 186, no. 2, pp 179–208.

509. Grachev, N., Maz’ya, V., Invertibility of boundary integral operators of elasticity on surfaces with conicpoints, J. Math. Sci. (N. Y.), 186, no. 2, pp 209–233.

510. Cianchi, A., Maz’ya, V., Boundedness of solutions to the Schrodinger equation under Neumann bound-ary conditions, J. Math. Pures Appl., 98, no. 6, pp 654–688.

511. Jaye, B. J., Maz’ya, V. G., Verbitsky, I. E., Existence and regularity of positive solutions of ellipticequations of Schrodinger type, J. Anal. Math., 118, pp 577–621.

2013

512. Jaye, B. J., Maz’ya, V., Verbitsky, I.E., Quasilinear elliptic equations and weighted Sobolev-Poincareinequalities with distributional weights, Adv. Math., 232, no. 1, pp 513–542.

513. Grachev, N.V., Maz’ya, V., Solvability of boundary integral operators of elasticity on surfaces withconic points, J. Math. Sci. (N. Y.), 191, no. 2, pp 178–192.

514. Grachev, N.V., Maz’ya, V., Solvability of a boundary integral equation on a polyhedron, J. Math. Sci.(N. Y.), 191, no. 2, pp 193–213.

515. McOwen, R., Maz’ya, V., Second order differentiability for solutions of elliptic equations in the plane,J. Math. Sci. (N. Y.), 191, no. 2, pp 243–253.

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516. Kamotski, I. V., Maz’ya, V. G., On the linear water wave problem in the presence of a criticallysubmerged body , SIAM J. Math. Anal., 44, no. 6, pp 4222–4249.

517. Cianchi, A., Maz’ya, V., Bounds for eigenfunctions of the Laplacian on noncompact Riemannian man-ifolds, Amer. J. Math., 135, no. 3, pp 579–635.

518. Kamotski, I. V., Maz’ya, V. G., Estimate for a solution to the water wave problem in the presence ofa submerged body , Russ. J. Math. Phys., 20, no. 4, pp 453–467.

519. Cialdea, A.; Maz’ya V. , Lp-dissipativity of the Lame operator , Mem. Differ. Equ. Math. Phys., 60,pp 111–133.

2014

520. Mayboroda, S., Maz’ya, V., Regularity of solutions to the polyharmonic equation in general domains,Inventiones Mathematicae, 196, no. 1, pp 1–68.

521. Cianchi, A., Maz’ya, V., Gradient regularity via rearrangements for p-Laplacian type elliptic boundaryvalue problems, J. Eur. Math. Soc., 16, no. 3, pp 571–595.

522. Cianchi, A., Maz’ya, V. G., Global boundedness of the gradient for a class of nonlinear elliptic systems,Arch. Ration. Mech. Anal., 212, no. 1, pp 129–177.

523. Lanzara, F.; Maz’ya, V.; Schmidt, G., Fast cubature of volume potentials over rectangular domains byapproximate approximations, Appl. Comput. Harmon. Anal., 36, no. 1, pp 167–182.

524. Carbery, A.; Maz’ya, V.; Mitrea, M.; Rule, D., The integrability of negative powers of the solution ofthe Saint Venant problem, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 13, no. 2, pp 465–531.

525. Kresin, G.; Maz’ya, V., Optimal pointwise estimates for derivatives of solutions to Laplace, Lame, andStokes equations, J. Math. Sci. (N. Y.), 196, no. 3, pp 300–321.

526. Alkhutov, Yu.; Maz’ya, V., Lp-coercitivity and estimates of the Green function of the Neumann problemin a convex domain, J. Math. Sci. (N. Y.), 196, no. 3, pp 245–261.

527. Maz’ya, V., Notes on Holder regularity of a boundary point with respect to an elliptic operator of secondorder , J. Math. Sci. (N. Y.), 196, no. 4, pp 572–577.

528. Maz’ya, V.; Movchan, A.; Nieves, M., Mesoscale approximations for solutions of the Dirichlet problemin a perforated elastic body , J. Math. Sci. (N. Y.), 202, no. 2, pp 215–244.

2015

529. Cianchi, A.; Maz’ya, V., Global gradient estimates in elliptic problems under minimal data and domainregularity , Commun. Pure Appl. Anal., 14, no. 1, pp 285–311.

530. Maz’ya, V., Topics on Wiener regularity for elliptic equations and systems, Mem. Differ. Equ. Math.Phys., 64, no. 35-02, pp 1–121.

531. Luo, G.; Maz’ya, V., Pointwise inequalities for elliptic boundary value problems, J. Math. Sci. (N.Y.),210, no. 14, pp 391–398.

532. Kresin, G.; Maz’ya, V., Criteria for invariance of convex sets for linear parabolic systems, Complexanalysis and dynamical systems VI. Part 1, Contemp. Math., Amer. Math. Soc., Providence, RI, 653,pp 227–241.

2016

533. Lanzara, F.; Maz’ya, V.; Schmidt, G., Approximation of solutions to multidimensional parabolic equa-tions by approximate approximations, Appl. Comput. Harmon. Anal., 41, no. 3, pp 749–767. .

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534. Cianchi, A.; Maz’ya, V., Sobolev inequalities in arbitrary domains, Adv. Math., 293, pp 644–696. .

535. Maz’ya, V.; Movchan, A.; Nieves, M., Mesoscale models and approximate solutions for solids containingclouds of voids, Multiscale Model. Simul., 14, no. 1, pp 138–172.

2017

536. Cianchi, A., Maz’ya, V., Quasilinear elliptic problems with general growth and merely integrable, ormeasure, data, Nonlinear Anal., 164, pp 189–215.

537. Barletta, G., Cianchi, A., Maz’ya, V., Quasilinear elliptic equations on noncompact Riemannian man-ifolds, J. Funct. Anal., 273, no. 11, pp 3426–3462.

538. Lanzara, F., Maz’ya, V., Note on a nonstandard eigenfunction of the planar Fourier transform, J.Math. Sci. (N.Y.), 224, no. 5, pp 694–698. .

539. Maz’ya, V., Movchan, A., Nieves, M., Eigenvalue problem in a solid with many inclusions: asymptoticanalysis, Multiscale Model. Simul., 15, no. 2, pp 1003–1047. .

540. Maz’ya, V., Elliptic equations in convex domains, Algebra i Analiz, 29, no. 1, pp 209–221.

2018

541. Cianchi, A., Maz’ya, V. , Second order two-sided estimates in nonlinear elliptic problems, Arch.Rational Mech. Anal., 229, no. 2, pp 569–599.

542. Maz’ya, V., Movchan, A., Meso-scale approximations of fields around clusters of defects, J. Math. Sci.(N.Y.), 232, no. 4, pp 446–460.

543. Kresin, G, Maz’ya, V., Invariant convex bodies for strongly elliptic systems, J. Anal. Math., 135, no. 1,pp 203–224.

544. Maz’ya, V., Solvability criteria for the Neumann p-Laplacian with irregular data, Algebra i Analiz,30, no. 3, pp 129–139.

545. Kresin, G., Maz’ya, V., Sharp estimates for the gradient of the generalized Poisson integral for ahalf-space, Georgian Math. J., 25, no. 2, pp 283–290.

546. Cialdea, A., Maz’ya, V., The Lp-dissipativity of first order partial differential operators, Complex Var.Elliptic Equ, 63, no. 8, pp 945–960.

547. Maz’ya, V., Seventy five (thousand) unsolved problems in analysis and partial differential equations,Integral Equations Operator Theory, 90, no. 2, pp 294–338.

548. Maz’ya, V., McOwen, R., Differentiability of solutions to the Neumann problem with low-regularitydata via dynamical systems, Oper. Theory Adv. Appl., 261, pp 345–387.

549. Mayboroda, S., Maz’ya, V., Polyharmonic capacity and Wiener test of higher order , Invent. Math.,211, no. 2.

550. Lanzara, F., Maz’ya, V., Schmidt, G., Accurate computation of the high dimensional diffraction poten-tial over hyper-rectangles, Bull. TICMI, 22, no. 2, pp 91–102.

551. Kresin, G, Maz’ya, V., Generalized Poisson integral and sharp estimates for harmonic and biharmonicfunctions in the half-space, Math. Model. Nat. Phenom., 13, no. 4, pp 1–29

552. Lanzara, F., Maz’ya, V., On eigenfunctions of the Fourier transform, J. Math. Sic. (N.Y.), 235, no. 2,pp 182–198.

2019

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553. Maz’ya, V., Verbitsky, I., Accretivity of the general second order linear differential operator , ActaMath. Sin., 35, no. 6, pp 832–852.

554. Egorov, Yu., Komech, A., Kuchment, P., Lakshtanov, E. Maz’ya, V., Molchanov, S., Novikov, R.,Freidlin, M., Boris Rufimovich Vainberg (on his 80th birthday), Uspekhi Mat. Nauk, 74, no. 1, pp189–194.

555. Lanzara, F., Maz’ya, V., Schmidt, G., A fast solution method for time dependent multidimensionalSchrodinger equations, Appl. Anal., 98, no. 1–2, pp 408–429.

Books edited

556. Maz’ya, V., Nikol’skii, S.M. (Editors) Analysis IV: Linear and Boundary Integral Equations, Encyclo-pedia of Mathematical Sciences, Spronger, 1991.

557. Maz’ya, V. (Editor) Sobolev Spaces in Mathematics, I. Sobolev Type Inequalities, Springer, 2008.

558. Maz’ya, V. (Editor) Sobolev Spaces in Mathematics, II. Applications in Analysis and Partial DifferentialEquations, Springer, 2008.

559. Agranovsky, M., Ben-Artzi, M., Galloway, G., Karp, L., Maz’ya, V., Reich, S., Shoikhet, D., Weinstein,G., Zalcman, L. (Editors) Complex Analysis and Dynamical Systems V, Fifth International Conferenceon Complex Analysis and Dynamical Systems May 22–27, 2011 Akko (Acre), Israel, ContemporaryMathematics, v.591, American Mathematical Society Providence, Rhode Island.

560. Maz’ya, V., Natroshvili, D., Shargorodsky, E., Wendland, W. (Editors) Roland Duduchava. Re-cent trends in operator theory and partial differential equations, Oper. Theory Adv. Appl. 258,Birkhauser/Springer, 2017.

Last update: 2019–6–4

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